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Finding the Fourth Proportional to 87,578.82, 131,368.19 and 28,414.49

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Solution

The fourth proportional to 87,578.82, 131,368.19 and 28,414.49 is: 42,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,578.82 : 131,368.19 = 28,414.49 : x
  2. Step 2: Convert to fraction form
    87,578.82/131,368.19 = 28,414.49/x
  3. Step 3: Cross multiply
    87,578.82x = 131,368.19 × 28,414.49
  4. Step 4: Simplify right side
    87,578.82x = 3,732,759,322.16
  5. Step 5: Solve for x
    x = 3,732,759,322.16/87,578.82
  6. Step 6: Final answer
    x = 42,621.71

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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.