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Finding the Fourth Proportional to 141.52, 212.24 and 54.87

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Solution

The fourth proportional to 141.52, 212.24 and 54.87 is: 82.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.52 : 212.24 = 54.87 : x
  2. Step 2: Convert to fraction form
    141.52/212.24 = 54.87/x
  3. Step 3: Cross multiply
    141.52x = 212.24 × 54.87
  4. Step 4: Simplify right side
    141.52x = 11,645.61
  5. Step 5: Solve for x
    x = 11,645.61/141.52
  6. Step 6: Final answer
    x = 82.29

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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.