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Finding the Fourth Proportional to 71,877, 107,738.06 and 34,357.28

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Solution

The fourth proportional to 71,877, 107,738.06 and 34,357.28 is: 51,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877 : 107,738.06 = 34,357.28 : x
  2. Step 2: Convert to fraction form
    71,877/107,738.06 = 34,357.28/x
  3. Step 3: Cross multiply
    71,877x = 107,738.06 × 34,357.28
  4. Step 4: Simplify right side
    71,877x = 3,701,586,694.08
  5. Step 5: Solve for x
    x = 3,701,586,694.08/71,877
  6. Step 6: Final answer
    x = 51,498.90

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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.