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Finding the Fourth Proportional to 72,406.92, 108,593.97 and 25,659.78

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Solution

The fourth proportional to 72,406.92, 108,593.97 and 25,659.78 is: 38,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,406.92 : 108,593.97 = 25,659.78 : x
  2. Step 2: Convert to fraction form
    72,406.92/108,593.97 = 25,659.78/x
  3. Step 3: Cross multiply
    72,406.92x = 108,593.97 × 25,659.78
  4. Step 4: Simplify right side
    72,406.92x = 2,786,497,379.53
  5. Step 5: Solve for x
    x = 2,786,497,379.53/72,406.92
  6. Step 6: Final answer
    x = 38,483.85

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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.