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Finding the Fourth Proportional to 111.70, 167.28 and 63.46

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Solution

The fourth proportional to 111.70, 167.28 and 63.46 is: 95.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.28 = 63.46 : x
  2. Step 2: Convert to fraction form
    111.70/167.28 = 63.46/x
  3. Step 3: Cross multiply
    111.70x = 167.28 × 63.46
  4. Step 4: Simplify right side
    111.70x = 10,615.59
  5. Step 5: Solve for x
    x = 10,615.59/111.70
  6. Step 6: Final answer
    x = 95.04

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