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Finding the Fourth Proportional to 82.51, 123.69 and 31.14

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Solution

The fourth proportional to 82.51, 123.69 and 31.14 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.51 : 123.69 = 31.14 : x
  2. Step 2: Convert to fraction form
    82.51/123.69 = 31.14/x
  3. Step 3: Cross multiply
    82.51x = 123.69 × 31.14
  4. Step 4: Simplify right side
    82.51x = 3,851.71
  5. Step 5: Solve for x
    x = 3,851.71/82.51
  6. Step 6: Final answer
    x = 46.68

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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.