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Finding the Fourth Proportional to 203,521.44, 305,219.97 and 140,745

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Solution

The fourth proportional to 203,521.44, 305,219.97 and 140,745 is: 211,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,521.44 : 305,219.97 = 140,745 : x
  2. Step 2: Convert to fraction form
    203,521.44/305,219.97 = 140,745/x
  3. Step 3: Cross multiply
    203,521.44x = 305,219.97 × 140,745
  4. Step 4: Simplify right side
    203,521.44x = 42,958,184,677.65
  5. Step 5: Solve for x
    x = 42,958,184,677.65/203,521.44
  6. Step 6: Final answer
    x = 211,074.49

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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.