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Finding the Fourth Proportional to 123.94, 171.11 and 82.55

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Solution

The fourth proportional to 123.94, 171.11 and 82.55 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.94 : 171.11 = 82.55 : x
  2. Step 2: Convert to fraction form
    123.94/171.11 = 82.55/x
  3. Step 3: Cross multiply
    123.94x = 171.11 × 82.55
  4. Step 4: Simplify right side
    123.94x = 14,125.13
  5. Step 5: Solve for x
    x = 14,125.13/123.94
  6. Step 6: Final answer
    x = 113.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.