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Finding the Fourth Proportional to 123.93, 171.11 and 108.44

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Solution

The fourth proportional to 123.93, 171.11 and 108.44 is: 149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 171.11 = 108.44 : x
  2. Step 2: Convert to fraction form
    123.93/171.11 = 108.44/x
  3. Step 3: Cross multiply
    123.93x = 171.11 × 108.44
  4. Step 4: Simplify right side
    123.93x = 18,555.23
  5. Step 5: Solve for x
    x = 18,555.23/123.93
  6. Step 6: Final answer
    x = 149.72

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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.