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Finding the Fourth Proportional to 72,322.86, 108,503.85 and 65,382.78

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Solution

The fourth proportional to 72,322.86, 108,503.85 and 65,382.78 is: 98,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,322.86 : 108,503.85 = 65,382.78 : x
  2. Step 2: Convert to fraction form
    72,322.86/108,503.85 = 65,382.78/x
  3. Step 3: Cross multiply
    72,322.86x = 108,503.85 × 65,382.78
  4. Step 4: Simplify right side
    72,322.86x = 7,094,283,353.70
  5. Step 5: Solve for x
    x = 7,094,283,353.70/72,322.86
  6. Step 6: Final answer
    x = 98,091.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.