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Finding the Fourth Proportional to 123.67, 185.56 and 107.44

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Solution

The fourth proportional to 123.67, 185.56 and 107.44 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.67 : 185.56 = 107.44 : x
  2. Step 2: Convert to fraction form
    123.67/185.56 = 107.44/x
  3. Step 3: Cross multiply
    123.67x = 185.56 × 107.44
  4. Step 4: Simplify right side
    123.67x = 19,936.57
  5. Step 5: Solve for x
    x = 19,936.57/123.67
  6. Step 6: Final answer
    x = 161.21

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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.