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Finding the Fourth Proportional to 138,176.97, 207,265.46 and 38,337.18

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Solution

The fourth proportional to 138,176.97, 207,265.46 and 38,337.18 is: 57,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,176.97 : 207,265.46 = 38,337.18 : x
  2. Step 2: Convert to fraction form
    138,176.97/207,265.46 = 38,337.18/x
  3. Step 3: Cross multiply
    138,176.97x = 207,265.46 × 38,337.18
  4. Step 4: Simplify right side
    138,176.97x = 7,945,973,056.12
  5. Step 5: Solve for x
    x = 7,945,973,056.12/138,176.97
  6. Step 6: Final answer
    x = 57,505.77

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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.