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Finding the Fourth Proportional to 80.95, 111.64 and 49.86

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Solution

The fourth proportional to 80.95, 111.64 and 49.86 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.95 : 111.64 = 49.86 : x
  2. Step 2: Convert to fraction form
    80.95/111.64 = 49.86/x
  3. Step 3: Cross multiply
    80.95x = 111.64 × 49.86
  4. Step 4: Simplify right side
    80.95x = 5,565.56
  5. Step 5: Solve for x
    x = 5,565.56/80.95
  6. Step 6: Final answer
    x = 68.75

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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.