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Finding the Fourth Proportional to 138,234.55, 207,187.80 and 71,640.40

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Solution

The fourth proportional to 138,234.55, 207,187.80 and 71,640.40 is: 107,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,234.55 : 207,187.80 = 71,640.40 : x
  2. Step 2: Convert to fraction form
    138,234.55/207,187.80 = 71,640.40/x
  3. Step 3: Cross multiply
    138,234.55x = 207,187.80 × 71,640.40
  4. Step 4: Simplify right side
    138,234.55x = 14,843,016,867.12
  5. Step 5: Solve for x
    x = 14,843,016,867.12/138,234.55
  6. Step 6: Final answer
    x = 107,375.59

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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.