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Finding the Fourth Proportional to 206,403.30, 309,308.49 and 88,042.86

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Solution

The fourth proportional to 206,403.30, 309,308.49 and 88,042.86 is: 131,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.30 : 309,308.49 = 88,042.86 : x
  2. Step 2: Convert to fraction form
    206,403.30/309,308.49 = 88,042.86/x
  3. Step 3: Cross multiply
    206,403.30x = 309,308.49 × 88,042.86
  4. Step 4: Simplify right side
    206,403.30x = 27,232,404,081.88
  5. Step 5: Solve for x
    x = 27,232,404,081.88/206,403.30
  6. Step 6: Final answer
    x = 131,937.83

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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.