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Finding the Fourth Proportional to 54,691.20, 82,101.60 and 54,302.40

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Solution

The fourth proportional to 54,691.20, 82,101.60 and 54,302.40 is: 81,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.20 : 82,101.60 = 54,302.40 : x
  2. Step 2: Convert to fraction form
    54,691.20/82,101.60 = 54,302.40/x
  3. Step 3: Cross multiply
    54,691.20x = 82,101.60 × 54,302.40
  4. Step 4: Simplify right side
    54,691.20x = 4,458,313,923.84
  5. Step 5: Solve for x
    x = 4,458,313,923.84/54,691.20
  6. Step 6: Final answer
    x = 81,517.94

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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.