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Finding the Fourth Proportional to 80.89, 121.23 and 49.95

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Solution

The fourth proportional to 80.89, 121.23 and 49.95 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.89 : 121.23 = 49.95 : x
  2. Step 2: Convert to fraction form
    80.89/121.23 = 49.95/x
  3. Step 3: Cross multiply
    80.89x = 121.23 × 49.95
  4. Step 4: Simplify right side
    80.89x = 6,054.83
  5. Step 5: Solve for x
    x = 6,054.83/80.89
  6. Step 6: Final answer
    x = 74.85

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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.