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Finding the Fourth Proportional to 203,908.20, 305,570.70 and 150,180.90

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Solution

The fourth proportional to 203,908.20, 305,570.70 and 150,180.90 is: 225,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.20 : 305,570.70 = 150,180.90 : x
  2. Step 2: Convert to fraction form
    203,908.20/305,570.70 = 150,180.90/x
  3. Step 3: Cross multiply
    203,908.20x = 305,570.70 × 150,180.90
  4. Step 4: Simplify right side
    203,908.20x = 45,890,882,739.63
  5. Step 5: Solve for x
    x = 45,890,882,739.63/203,908.20
  6. Step 6: Final answer
    x = 225,056.58

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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.