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Finding the Fourth Proportional to 123.97, 185.85 and 66.13

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Solution

The fourth proportional to 123.97, 185.85 and 66.13 is: 99.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.97 : 185.85 = 66.13 : x
  2. Step 2: Convert to fraction form
    123.97/185.85 = 66.13/x
  3. Step 3: Cross multiply
    123.97x = 185.85 × 66.13
  4. Step 4: Simplify right side
    123.97x = 12,290.26
  5. Step 5: Solve for x
    x = 12,290.26/123.97
  6. Step 6: Final answer
    x = 99.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.