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Finding the Fourth Proportional to 135,270.80, 202,906.20 and 82,782.80

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Solution

The fourth proportional to 135,270.80, 202,906.20 and 82,782.80 is: 124,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,270.80 : 202,906.20 = 82,782.80 : x
  2. Step 2: Convert to fraction form
    135,270.80/202,906.20 = 82,782.80/x
  3. Step 3: Cross multiply
    135,270.80x = 202,906.20 × 82,782.80
  4. Step 4: Simplify right side
    135,270.80x = 16,797,143,373.36
  5. Step 5: Solve for x
    x = 16,797,143,373.36/135,270.80
  6. Step 6: Final answer
    x = 124,174.20

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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.