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Finding the Fourth Proportional to 107.95, 161.35 and 94.12

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Solution

The fourth proportional to 107.95, 161.35 and 94.12 is: 140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.95 : 161.35 = 94.12 : x
  2. Step 2: Convert to fraction form
    107.95/161.35 = 94.12/x
  3. Step 3: Cross multiply
    107.95x = 161.35 × 94.12
  4. Step 4: Simplify right side
    107.95x = 15,186.26
  5. Step 5: Solve for x
    x = 15,186.26/107.95
  6. Step 6: Final answer
    x = 140.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.