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Finding the Fourth Proportional to 202,960.80, 280,198.50 and 122,408.64

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Solution

The fourth proportional to 202,960.80, 280,198.50 and 122,408.64 is: 168,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.80 : 280,198.50 = 122,408.64 : x
  2. Step 2: Convert to fraction form
    202,960.80/280,198.50 = 122,408.64/x
  3. Step 3: Cross multiply
    202,960.80x = 280,198.50 × 122,408.64
  4. Step 4: Simplify right side
    202,960.80x = 34,298,717,315.04
  5. Step 5: Solve for x
    x = 34,298,717,315.04/202,960.80
  6. Step 6: Final answer
    x = 168,991.83

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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.