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Finding the Fourth Proportional to 203,563.34, 305,197.38 and 136,837.97

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Solution

The fourth proportional to 203,563.34, 305,197.38 and 136,837.97 is: 205,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,563.34 : 305,197.38 = 136,837.97 : x
  2. Step 2: Convert to fraction form
    203,563.34/305,197.38 = 136,837.97/x
  3. Step 3: Cross multiply
    203,563.34x = 305,197.38 × 136,837.97
  4. Step 4: Simplify right side
    203,563.34x = 41,762,589,928.52
  5. Step 5: Solve for x
    x = 41,762,589,928.52/203,563.34
  6. Step 6: Final answer
    x = 205,157.72

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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.