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Finding the Fourth Proportional to 112.64, 167.52 and 111.36

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Solution

The fourth proportional to 112.64, 167.52 and 111.36 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 167.52 = 111.36 : x
  2. Step 2: Convert to fraction form
    112.64/167.52 = 111.36/x
  3. Step 3: Cross multiply
    112.64x = 167.52 × 111.36
  4. Step 4: Simplify right side
    112.64x = 18,655.03
  5. Step 5: Solve for x
    x = 18,655.03/112.64
  6. Step 6: Final answer
    x = 165.62

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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.