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Finding the Fourth Proportional to 80,414.78, 120,469.91 and 53,680.15

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Solution

The fourth proportional to 80,414.78, 120,469.91 and 53,680.15 is: 80,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.78 : 120,469.91 = 53,680.15 : x
  2. Step 2: Convert to fraction form
    80,414.78/120,469.91 = 53,680.15/x
  3. Step 3: Cross multiply
    80,414.78x = 120,469.91 × 53,680.15
  4. Step 4: Simplify right side
    80,414.78x = 6,466,841,968.54
  5. Step 5: Solve for x
    x = 6,466,841,968.54/80,414.78
  6. Step 6: Final answer
    x = 80,418.58

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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.