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Finding the Fourth Proportional to 80.18, 119.79 and 49.50

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Solution

The fourth proportional to 80.18, 119.79 and 49.50 is: 73.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.18 : 119.79 = 49.50 : x
  2. Step 2: Convert to fraction form
    80.18/119.79 = 49.50/x
  3. Step 3: Cross multiply
    80.18x = 119.79 × 49.50
  4. Step 4: Simplify right side
    80.18x = 5,929.61
  5. Step 5: Solve for x
    x = 5,929.61/80.18
  6. Step 6: Final answer
    x = 73.96

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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.