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Finding the Fourth Proportional to 81,452.10, 122,174.10 and 42,013.20

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Solution

The fourth proportional to 81,452.10, 122,174.10 and 42,013.20 is: 63,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452.10 : 122,174.10 = 42,013.20 : x
  2. Step 2: Convert to fraction form
    81,452.10/122,174.10 = 42,013.20/x
  3. Step 3: Cross multiply
    81,452.10x = 122,174.10 × 42,013.20
  4. Step 4: Simplify right side
    81,452.10x = 5,132,924,898.12
  5. Step 5: Solve for x
    x = 5,132,924,898.12/81,452.10
  6. Step 6: Final answer
    x = 63,017.71

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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.