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Finding the Fourth Proportional to 107.11, 161.31 and 94.43

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Solution

The fourth proportional to 107.11, 161.31 and 94.43 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.11 : 161.31 = 94.43 : x
  2. Step 2: Convert to fraction form
    107.11/161.31 = 94.43/x
  3. Step 3: Cross multiply
    107.11x = 161.31 × 94.43
  4. Step 4: Simplify right side
    107.11x = 15,232.50
  5. Step 5: Solve for x
    x = 15,232.50/107.11
  6. Step 6: Final answer
    x = 142.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.