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Finding the Fourth Proportional to 123.66, 185.45 and 80.30

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Solution

The fourth proportional to 123.66, 185.45 and 80.30 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.66 : 185.45 = 80.30 : x
  2. Step 2: Convert to fraction form
    123.66/185.45 = 80.30/x
  3. Step 3: Cross multiply
    123.66x = 185.45 × 80.30
  4. Step 4: Simplify right side
    123.66x = 14,891.64
  5. Step 5: Solve for x
    x = 14,891.64/123.66
  6. Step 6: Final answer
    x = 120.42

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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.