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Finding the Fourth Proportional to 206,498.79, 309,780.59 and 88,170.75

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Solution

The fourth proportional to 206,498.79, 309,780.59 and 88,170.75 is: 132,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498.79 : 309,780.59 = 88,170.75 : x
  2. Step 2: Convert to fraction form
    206,498.79/309,780.59 = 88,170.75/x
  3. Step 3: Cross multiply
    206,498.79x = 309,780.59 × 88,170.75
  4. Step 4: Simplify right side
    206,498.79x = 27,313,586,514.89
  5. Step 5: Solve for x
    x = 27,313,586,514.89/206,498.79
  6. Step 6: Final answer
    x = 132,269.96

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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.