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Finding the Fourth Proportional to 203,760.80, 305,871.60 and 120,701.60

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Solution

The fourth proportional to 203,760.80, 305,871.60 and 120,701.60 is: 181,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,760.80 : 305,871.60 = 120,701.60 : x
  2. Step 2: Convert to fraction form
    203,760.80/305,871.60 = 120,701.60/x
  3. Step 3: Cross multiply
    203,760.80x = 305,871.60 × 120,701.60
  4. Step 4: Simplify right side
    203,760.80x = 36,919,191,514.56
  5. Step 5: Solve for x
    x = 36,919,191,514.56/203,760.80
  6. Step 6: Final answer
    x = 181,188.88

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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.