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Finding the Fourth Proportional to 203,198.82, 280,387.80 and 117,161.04

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Solution

The fourth proportional to 203,198.82, 280,387.80 and 117,161.04 is: 161,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,198.82 : 280,387.80 = 117,161.04 : x
  2. Step 2: Convert to fraction form
    203,198.82/280,387.80 = 117,161.04/x
  3. Step 3: Cross multiply
    203,198.82x = 280,387.80 × 117,161.04
  4. Step 4: Simplify right side
    203,198.82x = 32,850,526,251.31
  5. Step 5: Solve for x
    x = 32,850,526,251.31/203,198.82
  6. Step 6: Final answer
    x = 161,666.91

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1.5x scale

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.