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Finding the Fourth Proportional to 206,191.91, 309,190.80 and 79,891.31

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Solution

The fourth proportional to 206,191.91, 309,190.80 and 79,891.31 is: 119,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,191.91 : 309,190.80 = 79,891.31 : x
  2. Step 2: Convert to fraction form
    206,191.91/309,190.80 = 79,891.31/x
  3. Step 3: Cross multiply
    206,191.91x = 309,190.80 × 79,891.31
  4. Step 4: Simplify right side
    206,191.91x = 24,701,659,124.52
  5. Step 5: Solve for x
    x = 24,701,659,124.52/206,191.91
  6. Step 6: Final answer
    x = 119,799.36

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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.