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Finding the Fourth Proportional to 142.52, 213.73 and 84.76

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Solution

The fourth proportional to 142.52, 213.73 and 84.76 is: 127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.52 : 213.73 = 84.76 : x
  2. Step 2: Convert to fraction form
    142.52/213.73 = 84.76/x
  3. Step 3: Cross multiply
    142.52x = 213.73 × 84.76
  4. Step 4: Simplify right side
    142.52x = 18,115.75
  5. Step 5: Solve for x
    x = 18,115.75/142.52
  6. Step 6: Final answer
    x = 127.11

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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.