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Finding the Fourth Proportional to 45,042, 67,562.46 and 42,301.78

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Solution

The fourth proportional to 45,042, 67,562.46 and 42,301.78 is: 63,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 67,562.46 = 42,301.78 : x
  2. Step 2: Convert to fraction form
    45,042/67,562.46 = 42,301.78/x
  3. Step 3: Cross multiply
    45,042x = 67,562.46 × 42,301.78
  4. Step 4: Simplify right side
    45,042x = 2,858,012,319.18
  5. Step 5: Solve for x
    x = 2,858,012,319.18/45,042
  6. Step 6: Final answer
    x = 63,452.16

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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.