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Finding the Fourth Proportional to 206,385.16, 309,598.92 and 71,449.02

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Solution

The fourth proportional to 206,385.16, 309,598.92 and 71,449.02 is: 107,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,385.16 : 309,598.92 = 71,449.02 : x
  2. Step 2: Convert to fraction form
    206,385.16/309,598.92 = 71,449.02/x
  3. Step 3: Cross multiply
    206,385.16x = 309,598.92 × 71,449.02
  4. Step 4: Simplify right side
    206,385.16x = 22,120,539,427.06
  5. Step 5: Solve for x
    x = 22,120,539,427.06/206,385.16
  6. Step 6: Final answer
    x = 107,180.86

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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.