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Finding the Fourth Proportional to 80.95, 111.72 and 51.84

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Solution

The fourth proportional to 80.95, 111.72 and 51.84 is: 71.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.95 : 111.72 = 51.84 : x
  2. Step 2: Convert to fraction form
    80.95/111.72 = 51.84/x
  3. Step 3: Cross multiply
    80.95x = 111.72 × 51.84
  4. Step 4: Simplify right side
    80.95x = 5,791.56
  5. Step 5: Solve for x
    x = 5,791.56/80.95
  6. Step 6: Final answer
    x = 71.54

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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.