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Finding the Fourth Proportional to 80.32, 119.88 and 78.72

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Solution

The fourth proportional to 80.32, 119.88 and 78.72 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.32 : 119.88 = 78.72 : x
  2. Step 2: Convert to fraction form
    80.32/119.88 = 78.72/x
  3. Step 3: Cross multiply
    80.32x = 119.88 × 78.72
  4. Step 4: Simplify right side
    80.32x = 9,436.95
  5. Step 5: Solve for x
    x = 9,436.95/80.32
  6. Step 6: Final answer
    x = 117.49

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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.