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Finding the Fourth Proportional to 138,292.40, 206,915.16 and 82,162.64

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Solution

The fourth proportional to 138,292.40, 206,915.16 and 82,162.64 is: 122,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,292.40 : 206,915.16 = 82,162.64 : x
  2. Step 2: Convert to fraction form
    138,292.40/206,915.16 = 82,162.64/x
  3. Step 3: Cross multiply
    138,292.40x = 206,915.16 × 82,162.64
  4. Step 4: Simplify right side
    138,292.40x = 17,000,695,801.62
  5. Step 5: Solve for x
    x = 17,000,695,801.62/138,292.40
  6. Step 6: Final answer
    x = 122,932.97

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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.