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Finding the Fourth Proportional to 82.49, 123.78 and 31.13

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Solution

The fourth proportional to 82.49, 123.78 and 31.13 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.49 : 123.78 = 31.13 : x
  2. Step 2: Convert to fraction form
    82.49/123.78 = 31.13/x
  3. Step 3: Cross multiply
    82.49x = 123.78 × 31.13
  4. Step 4: Simplify right side
    82.49x = 3,852.65
  5. Step 5: Solve for x
    x = 3,852.65/82.49
  6. Step 6: Final answer
    x = 46.71

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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.