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Finding the Fourth Proportional to 206,481.91, 309,685.83 and 54,679.96

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Solution

The fourth proportional to 206,481.91, 309,685.83 and 54,679.96 is: 82,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,481.91 : 309,685.83 = 54,679.96 : x
  2. Step 2: Convert to fraction form
    206,481.91/309,685.83 = 54,679.96/x
  3. Step 3: Cross multiply
    206,481.91x = 309,685.83 × 54,679.96
  4. Step 4: Simplify right side
    206,481.91x = 16,933,608,796.97
  5. Step 5: Solve for x
    x = 16,933,608,796.97/206,481.91
  6. Step 6: Final answer
    x = 82,010.13

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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.