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Finding the Fourth Proportional to 81.73, 112.34 and 73.36

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Solution

The fourth proportional to 81.73, 112.34 and 73.36 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 112.34 = 73.36 : x
  2. Step 2: Convert to fraction form
    81.73/112.34 = 73.36/x
  3. Step 3: Cross multiply
    81.73x = 112.34 × 73.36
  4. Step 4: Simplify right side
    81.73x = 8,241.26
  5. Step 5: Solve for x
    x = 8,241.26/81.73
  6. Step 6: Final answer
    x = 100.84

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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.