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Finding the Fourth Proportional to 134.85, 201.82 and 112.07

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Solution

The fourth proportional to 134.85, 201.82 and 112.07 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 201.82 = 112.07 : x
  2. Step 2: Convert to fraction form
    134.85/201.82 = 112.07/x
  3. Step 3: Cross multiply
    134.85x = 201.82 × 112.07
  4. Step 4: Simplify right side
    134.85x = 22,617.65
  5. Step 5: Solve for x
    x = 22,617.65/134.85
  6. Step 6: Final answer
    x = 167.72

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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.