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Finding the Fourth Proportional to 83,758.85, 125,636.30 and 20,578.87

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Solution

The fourth proportional to 83,758.85, 125,636.30 and 20,578.87 is: 30,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,758.85 : 125,636.30 = 20,578.87 : x
  2. Step 2: Convert to fraction form
    83,758.85/125,636.30 = 20,578.87/x
  3. Step 3: Cross multiply
    83,758.85x = 125,636.30 × 20,578.87
  4. Step 4: Simplify right side
    83,758.85x = 2,585,453,084.98
  5. Step 5: Solve for x
    x = 2,585,453,084.98/83,758.85
  6. Step 6: Final answer
    x = 30,867.82

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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.