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Finding the Fourth Proportional to 81.08, 111.86 and 49.99

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Solution

The fourth proportional to 81.08, 111.86 and 49.99 is: 68.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.08 : 111.86 = 49.99 : x
  2. Step 2: Convert to fraction form
    81.08/111.86 = 49.99/x
  3. Step 3: Cross multiply
    81.08x = 111.86 × 49.99
  4. Step 4: Simplify right side
    81.08x = 5,591.88
  5. Step 5: Solve for x
    x = 5,591.88/81.08
  6. Step 6: Final answer
    x = 68.97

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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.