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Finding the Fourth Proportional to 54,512.80, 81,769.20 and 52,439.20

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Solution

The fourth proportional to 54,512.80, 81,769.20 and 52,439.20 is: 78,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512.80 : 81,769.20 = 52,439.20 : x
  2. Step 2: Convert to fraction form
    54,512.80/81,769.20 = 52,439.20/x
  3. Step 3: Cross multiply
    54,512.80x = 81,769.20 × 52,439.20
  4. Step 4: Simplify right side
    54,512.80x = 4,287,911,432.64
  5. Step 5: Solve for x
    x = 4,287,911,432.64/54,512.80
  6. Step 6: Final answer
    x = 78,658.80

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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.