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Finding the Fourth Proportional to 111.96, 154.33 and 85.84

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Solution

The fourth proportional to 111.96, 154.33 and 85.84 is: 118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 154.33 = 85.84 : x
  2. Step 2: Convert to fraction form
    111.96/154.33 = 85.84/x
  3. Step 3: Cross multiply
    111.96x = 154.33 × 85.84
  4. Step 4: Simplify right side
    111.96x = 13,247.69
  5. Step 5: Solve for x
    x = 13,247.69/111.96
  6. Step 6: Final answer
    x = 118.33

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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.