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Finding the Fourth Proportional to 111.76, 167.47 and 65.41

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Solution

The fourth proportional to 111.76, 167.47 and 65.41 is: 98.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.76 : 167.47 = 65.41 : x
  2. Step 2: Convert to fraction form
    111.76/167.47 = 65.41/x
  3. Step 3: Cross multiply
    111.76x = 167.47 × 65.41
  4. Step 4: Simplify right side
    111.76x = 10,954.21
  5. Step 5: Solve for x
    x = 10,954.21/111.76
  6. Step 6: Final answer
    x = 98.02

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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.