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Finding the Fourth Proportional to 120.50, 166.25 and 73.85

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Solution

The fourth proportional to 120.50, 166.25 and 73.85 is: 101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 166.25 = 73.85 : x
  2. Step 2: Convert to fraction form
    120.50/166.25 = 73.85/x
  3. Step 3: Cross multiply
    120.50x = 166.25 × 73.85
  4. Step 4: Simplify right side
    120.50x = 12,276.36
  5. Step 5: Solve for x
    x = 12,276.36/120.50
  6. Step 6: Final answer
    x = 101.88

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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.