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Finding the Fourth Proportional to 111.62, 154.24 and 100.82

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Solution

The fourth proportional to 111.62, 154.24 and 100.82 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.62 : 154.24 = 100.82 : x
  2. Step 2: Convert to fraction form
    111.62/154.24 = 100.82/x
  3. Step 3: Cross multiply
    111.62x = 154.24 × 100.82
  4. Step 4: Simplify right side
    111.62x = 15,550.48
  5. Step 5: Solve for x
    x = 15,550.48/111.62
  6. Step 6: Final answer
    x = 139.32

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