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Finding the Fourth Proportional to 123.31, 185 and 86.75

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Solution

The fourth proportional to 123.31, 185 and 86.75 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.31 : 185 = 86.75 : x
  2. Step 2: Convert to fraction form
    123.31/185 = 86.75/x
  3. Step 3: Cross multiply
    123.31x = 185 × 86.75
  4. Step 4: Simplify right side
    123.31x = 16,048.75
  5. Step 5: Solve for x
    x = 16,048.75/123.31
  6. Step 6: Final answer
    x = 130.15

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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.