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Finding the Fourth Proportional to 131.14, 195.62 and 128.71

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Solution

The fourth proportional to 131.14, 195.62 and 128.71 is: 191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 195.62 = 128.71 : x
  2. Step 2: Convert to fraction form
    131.14/195.62 = 128.71/x
  3. Step 3: Cross multiply
    131.14x = 195.62 × 128.71
  4. Step 4: Simplify right side
    131.14x = 25,177.12
  5. Step 5: Solve for x
    x = 25,177.12/131.14
  6. Step 6: Final answer
    x = 191.99

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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.