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Finding the Fourth Proportional to 203,478.58, 305,231.64 and 75,406.78

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Solution

The fourth proportional to 203,478.58, 305,231.64 and 75,406.78 is: 113,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478.58 : 305,231.64 = 75,406.78 : x
  2. Step 2: Convert to fraction form
    203,478.58/305,231.64 = 75,406.78/x
  3. Step 3: Cross multiply
    203,478.58x = 305,231.64 × 75,406.78
  4. Step 4: Simplify right side
    203,478.58x = 23,016,535,126.52
  5. Step 5: Solve for x
    x = 23,016,535,126.52/203,478.58
  6. Step 6: Final answer
    x = 113,115.27

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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.