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Finding the Fourth Proportional to 203,998.80, 305,998.20 and 141,790.80

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Solution

The fourth proportional to 203,998.80, 305,998.20 and 141,790.80 is: 212,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,998.80 : 305,998.20 = 141,790.80 : x
  2. Step 2: Convert to fraction form
    203,998.80/305,998.20 = 141,790.80/x
  3. Step 3: Cross multiply
    203,998.80x = 305,998.20 × 141,790.80
  4. Step 4: Simplify right side
    203,998.80x = 43,387,729,576.56
  5. Step 5: Solve for x
    x = 43,387,729,576.56/203,998.80
  6. Step 6: Final answer
    x = 212,686.20

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1.5x scale

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.