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Finding the Fourth Proportional to 138,546.39, 207,897.45 and 75,370.95

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Solution

The fourth proportional to 138,546.39, 207,897.45 and 75,370.95 is: 113,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546.39 : 207,897.45 = 75,370.95 : x
  2. Step 2: Convert to fraction form
    138,546.39/207,897.45 = 75,370.95/x
  3. Step 3: Cross multiply
    138,546.39x = 207,897.45 × 75,370.95
  4. Step 4: Simplify right side
    138,546.39x = 15,669,428,026.44
  5. Step 5: Solve for x
    x = 15,669,428,026.44/138,546.39
  6. Step 6: Final answer
    x = 113,098.78

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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.