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Finding the Fourth Proportional to 137,560.93, 206,371.09 and 42,789.31

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Solution

The fourth proportional to 137,560.93, 206,371.09 and 42,789.31 is: 64,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,560.93 : 206,371.09 = 42,789.31 : x
  2. Step 2: Convert to fraction form
    137,560.93/206,371.09 = 42,789.31/x
  3. Step 3: Cross multiply
    137,560.93x = 206,371.09 × 42,789.31
  4. Step 4: Simplify right side
    137,560.93x = 8,830,476,545.05
  5. Step 5: Solve for x
    x = 8,830,476,545.05/137,560.93
  6. Step 6: Final answer
    x = 64,193.20

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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.