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Finding the Fourth Proportional to 138,966.40, 208,728.42 and 82,915.96

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Solution

The fourth proportional to 138,966.40, 208,728.42 and 82,915.96 is: 124,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966.40 : 208,728.42 = 82,915.96 : x
  2. Step 2: Convert to fraction form
    138,966.40/208,728.42 = 82,915.96/x
  3. Step 3: Cross multiply
    138,966.40x = 208,728.42 × 82,915.96
  4. Step 4: Simplify right side
    138,966.40x = 17,306,917,323.58
  5. Step 5: Solve for x
    x = 17,306,917,323.58/138,966.40
  6. Step 6: Final answer
    x = 124,540.30

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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.