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Finding the Fourth Proportional to 206,543.10, 309,829.48 and 86,479.22

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Solution

The fourth proportional to 206,543.10, 309,829.48 and 86,479.22 is: 129,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.10 : 309,829.48 = 86,479.22 : x
  2. Step 2: Convert to fraction form
    206,543.10/309,829.48 = 86,479.22/x
  3. Step 3: Cross multiply
    206,543.10x = 309,829.48 × 86,479.22
  4. Step 4: Simplify right side
    206,543.10x = 26,793,811,763.41
  5. Step 5: Solve for x
    x = 26,793,811,763.41/206,543.10
  6. Step 6: Final answer
    x = 129,725.04

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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.