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Finding the Fourth Proportional to 206,442.22, 309,589.08 and 71,469.64

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Solution

The fourth proportional to 206,442.22, 309,589.08 and 71,469.64 is: 107,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442.22 : 309,589.08 = 71,469.64 : x
  2. Step 2: Convert to fraction form
    206,442.22/309,589.08 = 71,469.64/x
  3. Step 3: Cross multiply
    206,442.22x = 309,589.08 × 71,469.64
  4. Step 4: Simplify right side
    206,442.22x = 22,126,220,095.53
  5. Step 5: Solve for x
    x = 22,126,220,095.53/206,442.22
  6. Step 6: Final answer
    x = 107,178.75

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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.