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Finding the Fourth Proportional to 81.14, 111.98 and 50.08

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Solution

The fourth proportional to 81.14, 111.98 and 50.08 is: 69.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.14 : 111.98 = 50.08 : x
  2. Step 2: Convert to fraction form
    81.14/111.98 = 50.08/x
  3. Step 3: Cross multiply
    81.14x = 111.98 × 50.08
  4. Step 4: Simplify right side
    81.14x = 5,607.96
  5. Step 5: Solve for x
    x = 5,607.96/81.14
  6. Step 6: Final answer
    x = 69.11

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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.