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Finding the Fourth Proportional to 206,843.56, 285,553.02 and 139,216

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Solution

The fourth proportional to 206,843.56, 285,553.02 and 139,216 is: 192,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.56 : 285,553.02 = 139,216 : x
  2. Step 2: Convert to fraction form
    206,843.56/285,553.02 = 139,216/x
  3. Step 3: Cross multiply
    206,843.56x = 285,553.02 × 139,216
  4. Step 4: Simplify right side
    206,843.56x = 39,753,549,232.32
  5. Step 5: Solve for x
    x = 39,753,549,232.32/206,843.56
  6. Step 6: Final answer
    x = 192,191.38

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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.