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Finding the Fourth Proportional to 67,278.35, 100,882.48 and 31,730.12

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Solution

The fourth proportional to 67,278.35, 100,882.48 and 31,730.12 is: 47,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,278.35 : 100,882.48 = 31,730.12 : x
  2. Step 2: Convert to fraction form
    67,278.35/100,882.48 = 31,730.12/x
  3. Step 3: Cross multiply
    67,278.35x = 100,882.48 × 31,730.12
  4. Step 4: Simplify right side
    67,278.35x = 3,201,013,227.70
  5. Step 5: Solve for x
    x = 3,201,013,227.70/67,278.35
  6. Step 6: Final answer
    x = 47,578.65

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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.