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Finding the Fourth Proportional to 139,593.63, 192,623.55 and 82,229.21

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Solution

The fourth proportional to 139,593.63, 192,623.55 and 82,229.21 is: 113,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,593.63 : 192,623.55 = 82,229.21 : x
  2. Step 2: Convert to fraction form
    139,593.63/192,623.55 = 82,229.21/x
  3. Step 3: Cross multiply
    139,593.63x = 192,623.55 × 82,229.21
  4. Step 4: Simplify right side
    139,593.63x = 15,839,282,257.30
  5. Step 5: Solve for x
    x = 15,839,282,257.30/139,593.63
  6. Step 6: Final answer
    x = 113,467.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.