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Finding the Fourth Proportional to 81.84, 112.69 and 77.33

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Solution

The fourth proportional to 81.84, 112.69 and 77.33 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 112.69 = 77.33 : x
  2. Step 2: Convert to fraction form
    81.84/112.69 = 77.33/x
  3. Step 3: Cross multiply
    81.84x = 112.69 × 77.33
  4. Step 4: Simplify right side
    81.84x = 8,713.98
  5. Step 5: Solve for x
    x = 8,713.98/81.84
  6. Step 6: Final answer
    x = 106.48

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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.