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Finding the Fourth Proportional to 138,529.92, 207,805.80 and 43,767.42

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Solution

The fourth proportional to 138,529.92, 207,805.80 and 43,767.42 is: 65,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,529.92 : 207,805.80 = 43,767.42 : x
  2. Step 2: Convert to fraction form
    138,529.92/207,805.80 = 43,767.42/x
  3. Step 3: Cross multiply
    138,529.92x = 207,805.80 × 43,767.42
  4. Step 4: Simplify right side
    138,529.92x = 9,095,123,727.04
  5. Step 5: Solve for x
    x = 9,095,123,727.04/138,529.92
  6. Step 6: Final answer
    x = 65,654.58

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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.