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Finding the Fourth Proportional to 137,915.14, 206,906.04 and 47,944.86

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Solution

The fourth proportional to 137,915.14, 206,906.04 and 47,944.86 is: 71,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,915.14 : 206,906.04 = 47,944.86 : x
  2. Step 2: Convert to fraction form
    137,915.14/206,906.04 = 47,944.86/x
  3. Step 3: Cross multiply
    137,915.14x = 206,906.04 × 47,944.86
  4. Step 4: Simplify right side
    137,915.14x = 9,920,081,120.95
  5. Step 5: Solve for x
    x = 9,920,081,120.95/137,915.14
  6. Step 6: Final answer
    x = 71,928.88

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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.