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Finding the Fourth Proportional to 140.71, 194.19 and 120.07

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Solution

The fourth proportional to 140.71, 194.19 and 120.07 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.71 : 194.19 = 120.07 : x
  2. Step 2: Convert to fraction form
    140.71/194.19 = 120.07/x
  3. Step 3: Cross multiply
    140.71x = 194.19 × 120.07
  4. Step 4: Simplify right side
    140.71x = 23,316.39
  5. Step 5: Solve for x
    x = 23,316.39/140.71
  6. Step 6: Final answer
    x = 165.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.