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Finding the Fourth Proportional to 80.78, 121.21 and 38.06

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Solution

The fourth proportional to 80.78, 121.21 and 38.06 is: 57.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.78 : 121.21 = 38.06 : x
  2. Step 2: Convert to fraction form
    80.78/121.21 = 38.06/x
  3. Step 3: Cross multiply
    80.78x = 121.21 × 38.06
  4. Step 4: Simplify right side
    80.78x = 4,613.25
  5. Step 5: Solve for x
    x = 4,613.25/80.78
  6. Step 6: Final answer
    x = 57.11

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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.