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Finding the Fourth Proportional to 113.78, 169.89 and 112.63

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Solution

The fourth proportional to 113.78, 169.89 and 112.63 is: 168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.78 : 169.89 = 112.63 : x
  2. Step 2: Convert to fraction form
    113.78/169.89 = 112.63/x
  3. Step 3: Cross multiply
    113.78x = 169.89 × 112.63
  4. Step 4: Simplify right side
    113.78x = 19,133.30
  5. Step 5: Solve for x
    x = 19,133.30/113.78
  6. Step 6: Final answer
    x = 168.16

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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.