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Finding the Fourth Proportional to 121.50, 182.22 and 75.80

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Solution

The fourth proportional to 121.50, 182.22 and 75.80 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 182.22 = 75.80 : x
  2. Step 2: Convert to fraction form
    121.50/182.22 = 75.80/x
  3. Step 3: Cross multiply
    121.50x = 182.22 × 75.80
  4. Step 4: Simplify right side
    121.50x = 13,812.28
  5. Step 5: Solve for x
    x = 13,812.28/121.50
  6. Step 6: Final answer
    x = 113.68

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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.