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Finding the Fourth Proportional to 137,945.71, 206,813.69 and 71,343.39

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Solution

The fourth proportional to 137,945.71, 206,813.69 and 71,343.39 is: 106,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,945.71 : 206,813.69 = 71,343.39 : x
  2. Step 2: Convert to fraction form
    137,945.71/206,813.69 = 71,343.39/x
  3. Step 3: Cross multiply
    137,945.71x = 206,813.69 × 71,343.39
  4. Step 4: Simplify right side
    137,945.71x = 14,754,789,743.01
  5. Step 5: Solve for x
    x = 14,754,789,743.01/137,945.71
  6. Step 6: Final answer
    x = 106,960.85

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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.