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Finding the Fourth Proportional to 107.14, 159.86 and 94.18

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Solution

The fourth proportional to 107.14, 159.86 and 94.18 is: 140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 159.86 = 94.18 : x
  2. Step 2: Convert to fraction form
    107.14/159.86 = 94.18/x
  3. Step 3: Cross multiply
    107.14x = 159.86 × 94.18
  4. Step 4: Simplify right side
    107.14x = 15,055.61
  5. Step 5: Solve for x
    x = 15,055.61/107.14
  6. Step 6: Final answer
    x = 140.52

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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.