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Finding the Fourth Proportional to 82.79, 124.19 and 31.42

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Solution

The fourth proportional to 82.79, 124.19 and 31.42 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.79 : 124.19 = 31.42 : x
  2. Step 2: Convert to fraction form
    82.79/124.19 = 31.42/x
  3. Step 3: Cross multiply
    82.79x = 124.19 × 31.42
  4. Step 4: Simplify right side
    82.79x = 3,902.05
  5. Step 5: Solve for x
    x = 3,902.05/82.79
  6. Step 6: Final answer
    x = 47.13

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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.