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Finding the Fourth Proportional to 138,375.95, 207,642.85 and 54,142.97

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Solution

The fourth proportional to 138,375.95, 207,642.85 and 54,142.97 is: 81,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,375.95 : 207,642.85 = 54,142.97 : x
  2. Step 2: Convert to fraction form
    138,375.95/207,642.85 = 54,142.97/x
  3. Step 3: Cross multiply
    138,375.95x = 207,642.85 × 54,142.97
  4. Step 4: Simplify right side
    138,375.95x = 11,242,399,424.69
  5. Step 5: Solve for x
    x = 11,242,399,424.69/138,375.95
  6. Step 6: Final answer
    x = 81,245.33

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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.