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Finding the Fourth Proportional to 111.85, 167.13 and 85.67

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Solution

The fourth proportional to 111.85, 167.13 and 85.67 is: 128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.85 : 167.13 = 85.67 : x
  2. Step 2: Convert to fraction form
    111.85/167.13 = 85.67/x
  3. Step 3: Cross multiply
    111.85x = 167.13 × 85.67
  4. Step 4: Simplify right side
    111.85x = 14,318.03
  5. Step 5: Solve for x
    x = 14,318.03/111.85
  6. Step 6: Final answer
    x = 128.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.