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Finding the Fourth Proportional to 203,524.44, 305,224.47 and 140,748

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Solution

The fourth proportional to 203,524.44, 305,224.47 and 140,748 is: 211,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,524.44 : 305,224.47 = 140,748 : x
  2. Step 2: Convert to fraction form
    203,524.44/305,224.47 = 140,748/x
  3. Step 3: Cross multiply
    203,524.44x = 305,224.47 × 140,748
  4. Step 4: Simplify right side
    203,524.44x = 42,959,733,703.56
  5. Step 5: Solve for x
    x = 42,959,733,703.56/203,524.44
  6. Step 6: Final answer
    x = 211,078.99

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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.