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Finding the Fourth Proportional to 111.92, 154.33 and 78.72

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Solution

The fourth proportional to 111.92, 154.33 and 78.72 is: 108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 154.33 = 78.72 : x
  2. Step 2: Convert to fraction form
    111.92/154.33 = 78.72/x
  3. Step 3: Cross multiply
    111.92x = 154.33 × 78.72
  4. Step 4: Simplify right side
    111.92x = 12,147.69
  5. Step 5: Solve for x
    x = 12,147.69/111.92
  6. Step 6: Final answer
    x = 108.54

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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.