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Finding the Fourth Proportional to 80.82, 121.32 and 78.48

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Solution

The fourth proportional to 80.82, 121.32 and 78.48 is: 117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.82 : 121.32 = 78.48 : x
  2. Step 2: Convert to fraction form
    80.82/121.32 = 78.48/x
  3. Step 3: Cross multiply
    80.82x = 121.32 × 78.48
  4. Step 4: Simplify right side
    80.82x = 9,521.19
  5. Step 5: Solve for x
    x = 9,521.19/80.82
  6. Step 6: Final answer
    x = 117.81

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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.