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Finding the Fourth Proportional to 135,278.80, 202,918.20 and 82,790.80

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Solution

The fourth proportional to 135,278.80, 202,918.20 and 82,790.80 is: 124,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,278.80 : 202,918.20 = 82,790.80 : x
  2. Step 2: Convert to fraction form
    135,278.80/202,918.20 = 82,790.80/x
  3. Step 3: Cross multiply
    135,278.80x = 202,918.20 × 82,790.80
  4. Step 4: Simplify right side
    135,278.80x = 16,799,760,112.56
  5. Step 5: Solve for x
    x = 16,799,760,112.56/135,278.80
  6. Step 6: Final answer
    x = 124,186.20

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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.