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Finding the Fourth Proportional to 138,575.70, 207,798.89 and 71,997.95

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Solution

The fourth proportional to 138,575.70, 207,798.89 and 71,997.95 is: 107,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,575.70 : 207,798.89 = 71,997.95 : x
  2. Step 2: Convert to fraction form
    138,575.70/207,798.89 = 71,997.95/x
  3. Step 3: Cross multiply
    138,575.70x = 207,798.89 × 71,997.95
  4. Step 4: Simplify right side
    138,575.70x = 14,961,094,251.78
  5. Step 5: Solve for x
    x = 14,961,094,251.78/138,575.70
  6. Step 6: Final answer
    x = 107,963.33

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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.