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Finding the Fourth Proportional to 134.78, 202.14 and 113.24

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Solution

The fourth proportional to 134.78, 202.14 and 113.24 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 202.14 = 113.24 : x
  2. Step 2: Convert to fraction form
    134.78/202.14 = 113.24/x
  3. Step 3: Cross multiply
    134.78x = 202.14 × 113.24
  4. Step 4: Simplify right side
    134.78x = 22,890.33
  5. Step 5: Solve for x
    x = 22,890.33/134.78
  6. Step 6: Final answer
    x = 169.83

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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.