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Finding the Fourth Proportional to 137,882.52, 206,422.02 and 102,500.64

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Solution

The fourth proportional to 137,882.52, 206,422.02 and 102,500.64 is: 153,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.52 : 206,422.02 = 102,500.64 : x
  2. Step 2: Convert to fraction form
    137,882.52/206,422.02 = 102,500.64/x
  3. Step 3: Cross multiply
    137,882.52x = 206,422.02 × 102,500.64
  4. Step 4: Simplify right side
    137,882.52x = 21,158,389,160.09
  5. Step 5: Solve for x
    x = 21,158,389,160.09/137,882.52
  6. Step 6: Final answer
    x = 153,452.30

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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.