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Finding the Fourth Proportional to 138,199, 207,290.26 and 81,304.87

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Solution

The fourth proportional to 138,199, 207,290.26 and 81,304.87 is: 121,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,199 : 207,290.26 = 81,304.87 : x
  2. Step 2: Convert to fraction form
    138,199/207,290.26 = 81,304.87/x
  3. Step 3: Cross multiply
    138,199x = 207,290.26 × 81,304.87
  4. Step 4: Simplify right side
    138,199x = 16,853,707,641.57
  5. Step 5: Solve for x
    x = 16,853,707,641.57/138,199
  6. Step 6: Final answer
    x = 121,952.46

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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.