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Finding the Fourth Proportional to 138,375.86, 207,569.25 and 38,544.78

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Solution

The fourth proportional to 138,375.86, 207,569.25 and 38,544.78 is: 57,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,375.86 : 207,569.25 = 38,544.78 : x
  2. Step 2: Convert to fraction form
    138,375.86/207,569.25 = 38,544.78/x
  3. Step 3: Cross multiply
    138,375.86x = 207,569.25 × 38,544.78
  4. Step 4: Simplify right side
    138,375.86x = 8,000,711,076.02
  5. Step 5: Solve for x
    x = 8,000,711,076.02/138,375.86
  6. Step 6: Final answer
    x = 57,818.69

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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.