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Finding the Fourth Proportional to 123.91, 185.49 and 115.79

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Solution

The fourth proportional to 123.91, 185.49 and 115.79 is: 173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 185.49 = 115.79 : x
  2. Step 2: Convert to fraction form
    123.91/185.49 = 115.79/x
  3. Step 3: Cross multiply
    123.91x = 185.49 × 115.79
  4. Step 4: Simplify right side
    123.91x = 21,478.09
  5. Step 5: Solve for x
    x = 21,478.09/123.91
  6. Step 6: Final answer
    x = 173.34

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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.