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Finding the Fourth Proportional to 111.87, 154.46 and 100.18

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Solution

The fourth proportional to 111.87, 154.46 and 100.18 is: 138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 154.46 = 100.18 : x
  2. Step 2: Convert to fraction form
    111.87/154.46 = 100.18/x
  3. Step 3: Cross multiply
    111.87x = 154.46 × 100.18
  4. Step 4: Simplify right side
    111.87x = 15,473.80
  5. Step 5: Solve for x
    x = 15,473.80/111.87
  6. Step 6: Final answer
    x = 138.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.