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Finding the Fourth Proportional to 172,431.92, 237,951.64 and 99,824.76

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Solution

The fourth proportional to 172,431.92, 237,951.64 and 99,824.76 is: 137,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,431.92 : 237,951.64 = 99,824.76 : x
  2. Step 2: Convert to fraction form
    172,431.92/237,951.64 = 99,824.76/x
  3. Step 3: Cross multiply
    172,431.92x = 237,951.64 × 99,824.76
  4. Step 4: Simplify right side
    172,431.92x = 23,753,465,354.61
  5. Step 5: Solve for x
    x = 23,753,465,354.61/172,431.92
  6. Step 6: Final answer
    x = 137,755.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.