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Finding the Fourth Proportional to 80.94, 111.66 and 51.86

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Solution

The fourth proportional to 80.94, 111.66 and 51.86 is: 71.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.94 : 111.66 = 51.86 : x
  2. Step 2: Convert to fraction form
    80.94/111.66 = 51.86/x
  3. Step 3: Cross multiply
    80.94x = 111.66 × 51.86
  4. Step 4: Simplify right side
    80.94x = 5,790.13
  5. Step 5: Solve for x
    x = 5,790.13/80.94
  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.