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Finding the Fourth Proportional to 101.80, 141.19 and 92.20

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Solution

The fourth proportional to 101.80, 141.19 and 92.20 is: 127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.80 : 141.19 = 92.20 : x
  2. Step 2: Convert to fraction form
    101.80/141.19 = 92.20/x
  3. Step 3: Cross multiply
    101.80x = 141.19 × 92.20
  4. Step 4: Simplify right side
    101.80x = 13,017.72
  5. Step 5: Solve for x
    x = 13,017.72/101.80
  6. Step 6: Final answer
    x = 127.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.