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Finding the Fourth Proportional to 81.49, 111.77 and 71.77

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Solution

The fourth proportional to 81.49, 111.77 and 71.77 is: 98.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.49 : 111.77 = 71.77 : x
  2. Step 2: Convert to fraction form
    81.49/111.77 = 71.77/x
  3. Step 3: Cross multiply
    81.49x = 111.77 × 71.77
  4. Step 4: Simplify right side
    81.49x = 8,021.73
  5. Step 5: Solve for x
    x = 8,021.73/81.49
  6. Step 6: Final answer
    x = 98.44

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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.