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Finding the Fourth Proportional to 80.57, 111.07 and 57.19

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Solution

The fourth proportional to 80.57, 111.07 and 57.19 is: 78.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.57 : 111.07 = 57.19 : x
  2. Step 2: Convert to fraction form
    80.57/111.07 = 57.19/x
  3. Step 3: Cross multiply
    80.57x = 111.07 × 57.19
  4. Step 4: Simplify right side
    80.57x = 6,351.25
  5. Step 5: Solve for x
    x = 6,351.25/80.57
  6. Step 6: Final answer
    x = 78.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.