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Finding the Fourth Proportional to 123.57, 184.07 and 116.73

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Solution

The fourth proportional to 123.57, 184.07 and 116.73 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.57 : 184.07 = 116.73 : x
  2. Step 2: Convert to fraction form
    123.57/184.07 = 116.73/x
  3. Step 3: Cross multiply
    123.57x = 184.07 × 116.73
  4. Step 4: Simplify right side
    123.57x = 21,486.78
  5. Step 5: Solve for x
    x = 21,486.78/123.57
  6. Step 6: Final answer
    x = 173.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.