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Finding the Fourth Proportional to 80.13, 119.61 and 78.33

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Solution

The fourth proportional to 80.13, 119.61 and 78.33 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.13 : 119.61 = 78.33 : x
  2. Step 2: Convert to fraction form
    80.13/119.61 = 78.33/x
  3. Step 3: Cross multiply
    80.13x = 119.61 × 78.33
  4. Step 4: Simplify right side
    80.13x = 9,369.05
  5. Step 5: Solve for x
    x = 9,369.05/80.13
  6. Step 6: Final answer
    x = 116.92

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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.