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Finding the Fourth Proportional to 121.87, 182.47 and 101.66

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Solution

The fourth proportional to 121.87, 182.47 and 101.66 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.87 : 182.47 = 101.66 : x
  2. Step 2: Convert to fraction form
    121.87/182.47 = 101.66/x
  3. Step 3: Cross multiply
    121.87x = 182.47 × 101.66
  4. Step 4: Simplify right side
    121.87x = 18,549.90
  5. Step 5: Solve for x
    x = 18,549.90/121.87
  6. Step 6: Final answer
    x = 152.21

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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.