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Finding the Fourth Proportional to 123,553.92, 170,503.86 and 66,965.31

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Solution

The fourth proportional to 123,553.92, 170,503.86 and 66,965.31 is: 92,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,553.92 : 170,503.86 = 66,965.31 : x
  2. Step 2: Convert to fraction form
    123,553.92/170,503.86 = 66,965.31/x
  3. Step 3: Cross multiply
    123,553.92x = 170,503.86 × 66,965.31
  4. Step 4: Simplify right side
    123,553.92x = 11,417,843,841.10
  5. Step 5: Solve for x
    x = 11,417,843,841.10/123,553.92
  6. Step 6: Final answer
    x = 92,411.83

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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.