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Finding the Fourth Proportional to 101.24, 151.85 and 81.08

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Solution

The fourth proportional to 101.24, 151.85 and 81.08 is: 121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.24 : 151.85 = 81.08 : x
  2. Step 2: Convert to fraction form
    101.24/151.85 = 81.08/x
  3. Step 3: Cross multiply
    101.24x = 151.85 × 81.08
  4. Step 4: Simplify right side
    101.24x = 12,311.44
  5. Step 5: Solve for x
    x = 12,311.44/101.24
  6. Step 6: Final answer
    x = 121.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.