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Finding the Fourth Proportional to 206,327.20, 309,310.80 and 80,053.60

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Solution

The fourth proportional to 206,327.20, 309,310.80 and 80,053.60 is: 120,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,327.20 : 309,310.80 = 80,053.60 : x
  2. Step 2: Convert to fraction form
    206,327.20/309,310.80 = 80,053.60/x
  3. Step 3: Cross multiply
    206,327.20x = 309,310.80 × 80,053.60
  4. Step 4: Simplify right side
    206,327.20x = 24,761,443,058.88
  5. Step 5: Solve for x
    x = 24,761,443,058.88/206,327.20
  6. Step 6: Final answer
    x = 120,010.56

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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.