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Finding the Fourth Proportional to 138,398.41, 207,532 and 71,771.86

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Solution

The fourth proportional to 138,398.41, 207,532 and 71,771.86 is: 107,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,398.41 : 207,532 = 71,771.86 : x
  2. Step 2: Convert to fraction form
    138,398.41/207,532 = 71,771.86/x
  3. Step 3: Cross multiply
    138,398.41x = 207,532 × 71,771.86
  4. Step 4: Simplify right side
    138,398.41x = 14,894,957,649.52
  5. Step 5: Solve for x
    x = 14,894,957,649.52/138,398.41
  6. Step 6: Final answer
    x = 107,623.76

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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.