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Finding the Fourth Proportional to 54,375.20, 81,454.80 and 47,880.80

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Solution

The fourth proportional to 54,375.20, 81,454.80 and 47,880.80 is: 71,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375.20 : 81,454.80 = 47,880.80 : x
  2. Step 2: Convert to fraction form
    54,375.20/81,454.80 = 47,880.80/x
  3. Step 3: Cross multiply
    54,375.20x = 81,454.80 × 47,880.80
  4. Step 4: Simplify right side
    54,375.20x = 3,900,120,987.84
  5. Step 5: Solve for x
    x = 3,900,120,987.84/54,375.20
  6. Step 6: Final answer
    x = 71,726.10

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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.