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Finding the Fourth Proportional to 203,825.44, 305,405.25 and 123,887.86

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Solution

The fourth proportional to 203,825.44, 305,405.25 and 123,887.86 is: 185,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,825.44 : 305,405.25 = 123,887.86 : x
  2. Step 2: Convert to fraction form
    203,825.44/305,405.25 = 123,887.86/x
  3. Step 3: Cross multiply
    203,825.44x = 305,405.25 × 123,887.86
  4. Step 4: Simplify right side
    203,825.44x = 37,836,002,855.27
  5. Step 5: Solve for x
    x = 37,836,002,855.27/203,825.44
  6. Step 6: Final answer
    x = 185,629.44

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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.