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Finding the Fourth Proportional to 107.14, 161.35 and 93.78

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Solution

The fourth proportional to 107.14, 161.35 and 93.78 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 161.35 = 93.78 : x
  2. Step 2: Convert to fraction form
    107.14/161.35 = 93.78/x
  3. Step 3: Cross multiply
    107.14x = 161.35 × 93.78
  4. Step 4: Simplify right side
    107.14x = 15,131.40
  5. Step 5: Solve for x
    x = 15,131.40/107.14
  6. Step 6: Final answer
    x = 141.23

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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.