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Finding the Fourth Proportional to 203,469.78, 305,268.19 and 122,505.56

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Solution

The fourth proportional to 203,469.78, 305,268.19 and 122,505.56 is: 183,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.78 : 305,268.19 = 122,505.56 : x
  2. Step 2: Convert to fraction form
    203,469.78/305,268.19 = 122,505.56/x
  3. Step 3: Cross multiply
    203,469.78x = 305,268.19 × 122,505.56
  4. Step 4: Simplify right side
    203,469.78x = 37,397,049,191.99
  5. Step 5: Solve for x
    x = 37,397,049,191.99/203,469.78
  6. Step 6: Final answer
    x = 183,796.58

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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.