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Finding the Fourth Proportional to 206,469.14, 309,608.66 and 81,724.82

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Solution

The fourth proportional to 206,469.14, 309,608.66 and 81,724.82 is: 122,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.14 : 309,608.66 = 81,724.82 : x
  2. Step 2: Convert to fraction form
    206,469.14/309,608.66 = 81,724.82/x
  3. Step 3: Cross multiply
    206,469.14x = 309,608.66 × 81,724.82
  4. Step 4: Simplify right side
    206,469.14x = 25,302,712,008.94
  5. Step 5: Solve for x
    x = 25,302,712,008.94/206,469.14
  6. Step 6: Final answer
    x = 122,549.61

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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.