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Finding the Fourth Proportional to 137,895.82, 206,843.73 and 108,469.73

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Solution

The fourth proportional to 137,895.82, 206,843.73 and 108,469.73 is: 162,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,895.82 : 206,843.73 = 108,469.73 : x
  2. Step 2: Convert to fraction form
    137,895.82/206,843.73 = 108,469.73/x
  3. Step 3: Cross multiply
    137,895.82x = 206,843.73 × 108,469.73
  4. Step 4: Simplify right side
    137,895.82x = 22,436,283,655.64
  5. Step 5: Solve for x
    x = 22,436,283,655.64/137,895.82
  6. Step 6: Final answer
    x = 162,704.60

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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.