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Finding the Fourth Proportional to 203,930.70, 305,896.05 and 70,824.41

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Solution

The fourth proportional to 203,930.70, 305,896.05 and 70,824.41 is: 106,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,930.70 : 305,896.05 = 70,824.41 : x
  2. Step 2: Convert to fraction form
    203,930.70/305,896.05 = 70,824.41/x
  3. Step 3: Cross multiply
    203,930.70x = 305,896.05 × 70,824.41
  4. Step 4: Simplify right side
    203,930.70x = 21,664,908,027.32
  5. Step 5: Solve for x
    x = 21,664,908,027.32/203,930.70
  6. Step 6: Final answer
    x = 106,236.62

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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.