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Finding the Fourth Proportional to 54,712.80, 82,074 and 40,103.52

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Solution

The fourth proportional to 54,712.80, 82,074 and 40,103.52 is: 60,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,712.80 : 82,074 = 40,103.52 : x
  2. Step 2: Convert to fraction form
    54,712.80/82,074 = 40,103.52/x
  3. Step 3: Cross multiply
    54,712.80x = 82,074 × 40,103.52
  4. Step 4: Simplify right side
    54,712.80x = 3,291,456,300.48
  5. Step 5: Solve for x
    x = 3,291,456,300.48/54,712.80
  6. Step 6: Final answer
    x = 60,158.80

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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.