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Finding the Fourth Proportional to 107.14, 161.24 and 84.46

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Solution

The fourth proportional to 107.14, 161.24 and 84.46 is: 127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 161.24 = 84.46 : x
  2. Step 2: Convert to fraction form
    107.14/161.24 = 84.46/x
  3. Step 3: Cross multiply
    107.14x = 161.24 × 84.46
  4. Step 4: Simplify right side
    107.14x = 13,618.33
  5. Step 5: Solve for x
    x = 13,618.33/107.14
  6. Step 6: Final answer
    x = 127.11

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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.