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Finding the Fourth Proportional to 137,885.49, 206,777.21 and 49,115.43

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Solution

The fourth proportional to 137,885.49, 206,777.21 and 49,115.43 is: 73,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,885.49 : 206,777.21 = 49,115.43 : x
  2. Step 2: Convert to fraction form
    137,885.49/206,777.21 = 49,115.43/x
  3. Step 3: Cross multiply
    137,885.49x = 206,777.21 × 49,115.43
  4. Step 4: Simplify right side
    137,885.49x = 10,155,951,337.77
  5. Step 5: Solve for x
    x = 10,155,951,337.77/137,885.49
  6. Step 6: Final answer
    x = 73,654.97

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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.