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Finding the Fourth Proportional to 206,421.92, 309,339.91 and 86,349.47

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Solution

The fourth proportional to 206,421.92, 309,339.91 and 86,349.47 is: 129,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.92 : 309,339.91 = 86,349.47 : x
  2. Step 2: Convert to fraction form
    206,421.92/309,339.91 = 86,349.47/x
  3. Step 3: Cross multiply
    206,421.92x = 309,339.91 × 86,349.47
  4. Step 4: Simplify right side
    206,421.92x = 26,711,335,839.59
  5. Step 5: Solve for x
    x = 26,711,335,839.59/206,421.92
  6. Step 6: Final answer
    x = 129,401.64

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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.