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Organization and Summary of Significant Accounting Policies - Additional Information (Detail) (USD $)
3 Months Ended 12 Months Ended
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2011
Dec. 31, 2014
Restaurants
CommercialBank
Dec. 31, 2013
Dec. 31, 2012
Organization And Significant Accounting Policies [Line Items]                              
Date of formation                         Mar. 23, 1987    
Mexican-American restaurants                         3us-gaap_NumberOfRestaurants    
General Partner's interest in profits or losses and distribution of the Partnership                         1.00%dtipiv_GeneralPartnerInterest    
Percentage of net income allocated to general partner                         1.00%dtipiv_PercentageOfNetIncomeAttributableGeneralPartner    
Weighted average number of units outstanding to general partner 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding 165,375us-gaap_WeightedAverageLimitedPartnershipUnitsOutstanding
Rental revenue percentage                         12.00%dtipiv_RentalRevenuePercentage    
Supplemental rental rate                         14.60%dtipiv_SupplementalRentalRate    
Aggregate cost of property                         $ 3,011,349dtipiv_PropertyOperatingCosts    
Aggregate pretax profit                         50.00%dtipiv_PercentageOfAggregatePretaxProfit    
Franchise royalties paid                         50.00%dtipiv_PercentageOfRoyaltiesPayments    
Restaurants leased                         3dtipiv_NumberOfLeasedRestaurants    
Commercial bank                         1dtipiv_NumberOfMajorCommercialBanks    
Land improvements [Member]                              
Organization And Significant Accounting Policies [Line Items]                              
Useful life of property plant and equipment                         20 years    
Buildings and improvements [Member]                              
Organization And Significant Accounting Policies [Line Items]                              
Useful life of property plant and equipment                         35 years    
Machinery and equipment [Member]                              
Organization And Significant Accounting Policies [Line Items]                              
Useful life of property plant and equipment                         10 years