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Finding the Fourth Proportional to 111.22, 167.02 and 87.32

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Solution

The fourth proportional to 111.22, 167.02 and 87.32 is: 131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 167.02 = 87.32 : x
  2. Step 2: Convert to fraction form
    111.22/167.02 = 87.32/x
  3. Step 3: Cross multiply
    111.22x = 167.02 × 87.32
  4. Step 4: Simplify right side
    111.22x = 14,584.19
  5. Step 5: Solve for x
    x = 14,584.19/111.22
  6. Step 6: Final answer
    x = 131.13

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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.