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Finding the Fourth Proportional to 67,863.39, 101,778.67 and 28,450

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Solution

The fourth proportional to 67,863.39, 101,778.67 and 28,450 is: 42,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,863.39 : 101,778.67 = 28,450 : x
  2. Step 2: Convert to fraction form
    67,863.39/101,778.67 = 28,450/x
  3. Step 3: Cross multiply
    67,863.39x = 101,778.67 × 28,450
  4. Step 4: Simplify right side
    67,863.39x = 2,895,603,161.50
  5. Step 5: Solve for x
    x = 2,895,603,161.50/67,863.39
  6. Step 6: Final answer
    x = 42,668.12

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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.