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Finding the Fourth Proportional to 81.26, 112.13 and 50.19

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Solution

The fourth proportional to 81.26, 112.13 and 50.19 is: 69.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.26 : 112.13 = 50.19 : x
  2. Step 2: Convert to fraction form
    81.26/112.13 = 50.19/x
  3. Step 3: Cross multiply
    81.26x = 112.13 × 50.19
  4. Step 4: Simplify right side
    81.26x = 5,627.55
  5. Step 5: Solve for x
    x = 5,627.55/81.26
  6. Step 6: Final answer
    x = 69.26

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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.