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Finding the Fourth Proportional to 203,774.31, 305,263.83 and 133,440.39

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Solution

The fourth proportional to 203,774.31, 305,263.83 and 133,440.39 is: 199,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,774.31 : 305,263.83 = 133,440.39 : x
  2. Step 2: Convert to fraction form
    203,774.31/305,263.83 = 133,440.39/x
  3. Step 3: Cross multiply
    203,774.31x = 305,263.83 × 133,440.39
  4. Step 4: Simplify right side
    203,774.31x = 40,734,524,528.09
  5. Step 5: Solve for x
    x = 40,734,524,528.09/203,774.31
  6. Step 6: Final answer
    x = 199,900.20

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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.