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Finding the Fourth Proportional to 135,672, 187,227.36 and 82,680

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Solution

The fourth proportional to 135,672, 187,227.36 and 82,680 is: 114,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,672 : 187,227.36 = 82,680 : x
  2. Step 2: Convert to fraction form
    135,672/187,227.36 = 82,680/x
  3. Step 3: Cross multiply
    135,672x = 187,227.36 × 82,680
  4. Step 4: Simplify right side
    135,672x = 15,479,958,124.80
  5. Step 5: Solve for x
    x = 15,479,958,124.80/135,672
  6. Step 6: Final answer
    x = 114,098.40

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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.