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Finding the Fourth Proportional to 203,910.40, 305,865.60 and 147,631.60

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Solution

The fourth proportional to 203,910.40, 305,865.60 and 147,631.60 is: 221,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910.40 : 305,865.60 = 147,631.60 : x
  2. Step 2: Convert to fraction form
    203,910.40/305,865.60 = 147,631.60/x
  3. Step 3: Cross multiply
    203,910.40x = 305,865.60 × 147,631.60
  4. Step 4: Simplify right side
    203,910.40x = 45,155,427,912.96
  5. Step 5: Solve for x
    x = 45,155,427,912.96/203,910.40
  6. Step 6: Final answer
    x = 221,447.40

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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.