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Finding the Fourth Proportional to 137,938.56, 206,870.08 and 38,074.88

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Solution

The fourth proportional to 137,938.56, 206,870.08 and 38,074.88 is: 57,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,938.56 : 206,870.08 = 38,074.88 : x
  2. Step 2: Convert to fraction form
    137,938.56/206,870.08 = 38,074.88/x
  3. Step 3: Cross multiply
    137,938.56x = 206,870.08 × 38,074.88
  4. Step 4: Simplify right side
    137,938.56x = 7,876,553,471.59
  5. Step 5: Solve for x
    x = 7,876,553,471.59/137,938.56
  6. Step 6: Final answer
    x = 57,101.90

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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.