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Finding the Fourth Proportional to 54,758.80, 82,138.20 and 49,229.20

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Solution

The fourth proportional to 54,758.80, 82,138.20 and 49,229.20 is: 73,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.80 : 82,138.20 = 49,229.20 : x
  2. Step 2: Convert to fraction form
    54,758.80/82,138.20 = 49,229.20/x
  3. Step 3: Cross multiply
    54,758.80x = 82,138.20 × 49,229.20
  4. Step 4: Simplify right side
    54,758.80x = 4,043,597,875.44
  5. Step 5: Solve for x
    x = 4,043,597,875.44/54,758.80
  6. Step 6: Final answer
    x = 73,843.80

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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.