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Finding the Fourth Proportional to 109.20, 163.23 and 81.84

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Solution

The fourth proportional to 109.20, 163.23 and 81.84 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 163.23 = 81.84 : x
  2. Step 2: Convert to fraction form
    109.20/163.23 = 81.84/x
  3. Step 3: Cross multiply
    109.20x = 163.23 × 81.84
  4. Step 4: Simplify right side
    109.20x = 13,358.74
  5. Step 5: Solve for x
    x = 13,358.74/109.20
  6. Step 6: Final answer
    x = 122.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.