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Finding the Fourth Proportional to 206,472.54, 309,821.66 and 80,117.75

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Solution

The fourth proportional to 206,472.54, 309,821.66 and 80,117.75 is: 120,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472.54 : 309,821.66 = 80,117.75 : x
  2. Step 2: Convert to fraction form
    206,472.54/309,821.66 = 80,117.75/x
  3. Step 3: Cross multiply
    206,472.54x = 309,821.66 × 80,117.75
  4. Step 4: Simplify right side
    206,472.54x = 24,822,212,796.44
  5. Step 5: Solve for x
    x = 24,822,212,796.44/206,472.54
  6. Step 6: Final answer
    x = 120,220.40

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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.