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Finding the Fourth Proportional to 203,532.44, 305,236.47 and 140,756

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Solution

The fourth proportional to 203,532.44, 305,236.47 and 140,756 is: 211,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,532.44 : 305,236.47 = 140,756 : x
  2. Step 2: Convert to fraction form
    203,532.44/305,236.47 = 140,756/x
  3. Step 3: Cross multiply
    203,532.44x = 305,236.47 × 140,756
  4. Step 4: Simplify right side
    203,532.44x = 42,963,864,571.32
  5. Step 5: Solve for x
    x = 42,963,864,571.32/203,532.44
  6. Step 6: Final answer
    x = 211,090.99

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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.