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Finding the Fourth Proportional to 137,871.36, 206,863.36 and 49,141.76

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Solution

The fourth proportional to 137,871.36, 206,863.36 and 49,141.76 is: 73,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,871.36 : 206,863.36 = 49,141.76 : x
  2. Step 2: Convert to fraction form
    137,871.36/206,863.36 = 49,141.76/x
  3. Step 3: Cross multiply
    137,871.36x = 206,863.36 × 49,141.76
  4. Step 4: Simplify right side
    137,871.36x = 10,165,629,589.91
  5. Step 5: Solve for x
    x = 10,165,629,589.91/137,871.36
  6. Step 6: Final answer
    x = 73,732.71

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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.