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Finding the Fourth Proportional to 121.35, 182.34 and 75.81

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Solution

The fourth proportional to 121.35, 182.34 and 75.81 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.35 : 182.34 = 75.81 : x
  2. Step 2: Convert to fraction form
    121.35/182.34 = 75.81/x
  3. Step 3: Cross multiply
    121.35x = 182.34 × 75.81
  4. Step 4: Simplify right side
    121.35x = 13,823.20
  5. Step 5: Solve for x
    x = 13,823.20/121.35
  6. Step 6: Final answer
    x = 113.91

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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.