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Finding the Fourth Proportional to 259,753.92, 389,689.92 and 82,272

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Solution

The fourth proportional to 259,753.92, 389,689.92 and 82,272 is: 123,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,753.92 : 389,689.92 = 82,272 : x
  2. Step 2: Convert to fraction form
    259,753.92/389,689.92 = 82,272/x
  3. Step 3: Cross multiply
    259,753.92x = 389,689.92 × 82,272
  4. Step 4: Simplify right side
    259,753.92x = 32,060,569,098.24
  5. Step 5: Solve for x
    x = 32,060,569,098.24/259,753.92
  6. Step 6: Final answer
    x = 123,426.70

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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.