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Finding the Fourth Proportional to 111.85, 167.82 and 90.16

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Solution

The fourth proportional to 111.85, 167.82 and 90.16 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.85 : 167.82 = 90.16 : x
  2. Step 2: Convert to fraction form
    111.85/167.82 = 90.16/x
  3. Step 3: Cross multiply
    111.85x = 167.82 × 90.16
  4. Step 4: Simplify right side
    111.85x = 15,130.65
  5. Step 5: Solve for x
    x = 15,130.65/111.85
  6. Step 6: Final answer
    x = 135.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.