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Finding the Fourth Proportional to 138,439.98, 207,708.12 and 43,684.74

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Solution

The fourth proportional to 138,439.98, 207,708.12 and 43,684.74 is: 65,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439.98 : 207,708.12 = 43,684.74 : x
  2. Step 2: Convert to fraction form
    138,439.98/207,708.12 = 43,684.74/x
  3. Step 3: Cross multiply
    138,439.98x = 207,708.12 × 43,684.74
  4. Step 4: Simplify right side
    138,439.98x = 9,073,675,218.09
  5. Step 5: Solve for x
    x = 9,073,675,218.09/138,439.98
  6. Step 6: Final answer
    x = 65,542.30

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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.