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Finding the Fourth Proportional to 203,782.80, 305,904.60 and 120,723.60

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Solution

The fourth proportional to 203,782.80, 305,904.60 and 120,723.60 is: 181,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,782.80 : 305,904.60 = 120,723.60 : x
  2. Step 2: Convert to fraction form
    203,782.80/305,904.60 = 120,723.60/x
  3. Step 3: Cross multiply
    203,782.80x = 305,904.60 × 120,723.60
  4. Step 4: Simplify right side
    203,782.80x = 36,929,904,568.56
  5. Step 5: Solve for x
    x = 36,929,904,568.56/203,782.80
  6. Step 6: Final answer
    x = 181,221.89

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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.