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Finding the Fourth Proportional to 80.83, 121.73 and 77.05

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Solution

The fourth proportional to 80.83, 121.73 and 77.05 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.83 : 121.73 = 77.05 : x
  2. Step 2: Convert to fraction form
    80.83/121.73 = 77.05/x
  3. Step 3: Cross multiply
    80.83x = 121.73 × 77.05
  4. Step 4: Simplify right side
    80.83x = 9,379.30
  5. Step 5: Solve for x
    x = 9,379.30/80.83
  6. Step 6: Final answer
    x = 116.04

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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.