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Finding the Fourth Proportional to 109.62, 163.77 and 80.19

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Solution

The fourth proportional to 109.62, 163.77 and 80.19 is: 119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.62 : 163.77 = 80.19 : x
  2. Step 2: Convert to fraction form
    109.62/163.77 = 80.19/x
  3. Step 3: Cross multiply
    109.62x = 163.77 × 80.19
  4. Step 4: Simplify right side
    109.62x = 13,132.72
  5. Step 5: Solve for x
    x = 13,132.72/109.62
  6. Step 6: Final answer
    x = 119.80

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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.