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Finding the Fourth Proportional to 80.09, 120.86 and 77.37

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Solution

The fourth proportional to 80.09, 120.86 and 77.37 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 120.86 = 77.37 : x
  2. Step 2: Convert to fraction form
    80.09/120.86 = 77.37/x
  3. Step 3: Cross multiply
    80.09x = 120.86 × 77.37
  4. Step 4: Simplify right side
    80.09x = 9,350.55
  5. Step 5: Solve for x
    x = 9,350.55/80.09
  6. Step 6: Final answer
    x = 116.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.