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Finding the Fourth Proportional to 80.94, 120.59 and 79.12

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Solution

The fourth proportional to 80.94, 120.59 and 79.12 is: 117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.94 : 120.59 = 79.12 : x
  2. Step 2: Convert to fraction form
    80.94/120.59 = 79.12/x
  3. Step 3: Cross multiply
    80.94x = 120.59 × 79.12
  4. Step 4: Simplify right side
    80.94x = 9,540.98
  5. Step 5: Solve for x
    x = 9,540.98/80.94
  6. Step 6: Final answer
    x = 117.88

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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.