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Finding the Fourth Proportional to 138,614.60, 207,921.29 and 54,315.20

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Solution

The fourth proportional to 138,614.60, 207,921.29 and 54,315.20 is: 81,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,614.60 : 207,921.29 = 54,315.20 : x
  2. Step 2: Convert to fraction form
    138,614.60/207,921.29 = 54,315.20/x
  3. Step 3: Cross multiply
    138,614.60x = 207,921.29 × 54,315.20
  4. Step 4: Simplify right side
    138,614.60x = 11,293,286,450.61
  5. Step 5: Solve for x
    x = 11,293,286,450.61/138,614.60
  6. Step 6: Final answer
    x = 81,472.56

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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.