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Finding the Fourth Proportional to 83.72, 114.60 and 81.26

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Solution

The fourth proportional to 83.72, 114.60 and 81.26 is: 111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.72 : 114.60 = 81.26 : x
  2. Step 2: Convert to fraction form
    83.72/114.60 = 81.26/x
  3. Step 3: Cross multiply
    83.72x = 114.60 × 81.26
  4. Step 4: Simplify right side
    83.72x = 9,312.40
  5. Step 5: Solve for x
    x = 9,312.40/83.72
  6. Step 6: Final answer
    x = 111.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.