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Finding the Fourth Proportional to 83.24, 124.78 and 31.88

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Solution

The fourth proportional to 83.24, 124.78 and 31.88 is: 47.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.24 : 124.78 = 31.88 : x
  2. Step 2: Convert to fraction form
    83.24/124.78 = 31.88/x
  3. Step 3: Cross multiply
    83.24x = 124.78 × 31.88
  4. Step 4: Simplify right side
    83.24x = 3,977.20
  5. Step 5: Solve for x
    x = 3,977.20/83.24
  6. Step 6: Final answer
    x = 47.78

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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.