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Finding the Fourth Proportional to 71,877, 107,672.88 and 33,874.23

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Solution

The fourth proportional to 71,877, 107,672.88 and 33,874.23 is: 50,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877 : 107,672.88 = 33,874.23 : x
  2. Step 2: Convert to fraction form
    71,877/107,672.88 = 33,874.23/x
  3. Step 3: Cross multiply
    71,877x = 107,672.88 × 33,874.23
  4. Step 4: Simplify right side
    71,877x = 3,647,335,901.88
  5. Step 5: Solve for x
    x = 3,647,335,901.88/71,877
  6. Step 6: Final answer
    x = 50,744.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.