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Finding the Fourth Proportional to 206,891.10, 309,906.09 and 199,753.38

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Solution

The fourth proportional to 206,891.10, 309,906.09 and 199,753.38 is: 299,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,891.10 : 309,906.09 = 199,753.38 : x
  2. Step 2: Convert to fraction form
    206,891.10/309,906.09 = 199,753.38/x
  3. Step 3: Cross multiply
    206,891.10x = 309,906.09 × 199,753.38
  4. Step 4: Simplify right side
    206,891.10x = 61,904,788,960.08
  5. Step 5: Solve for x
    x = 61,904,788,960.08/206,891.10
  6. Step 6: Final answer
    x = 299,214.36

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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.