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Finding the Fourth Proportional to 147.72, 220.72 and 112.81

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Solution

The fourth proportional to 147.72, 220.72 and 112.81 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.72 : 220.72 = 112.81 : x
  2. Step 2: Convert to fraction form
    147.72/220.72 = 112.81/x
  3. Step 3: Cross multiply
    147.72x = 220.72 × 112.81
  4. Step 4: Simplify right side
    147.72x = 24,898.73
  5. Step 5: Solve for x
    x = 24,898.73/147.72
  6. Step 6: Final answer
    x = 168.56

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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.