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Finding the Fourth Proportional to 136,414.72, 188,261.78 and 82,702

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Solution

The fourth proportional to 136,414.72, 188,261.78 and 82,702 is: 114,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,414.72 : 188,261.78 = 82,702 : x
  2. Step 2: Convert to fraction form
    136,414.72/188,261.78 = 82,702/x
  3. Step 3: Cross multiply
    136,414.72x = 188,261.78 × 82,702
  4. Step 4: Simplify right side
    136,414.72x = 15,569,625,729.56
  5. Step 5: Solve for x
    x = 15,569,625,729.56/136,414.72
  6. Step 6: Final answer
    x = 114,134.50

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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.