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Finding the Fourth Proportional to 199,168.37, 275,201.90 and 159,211.88

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Solution

The fourth proportional to 199,168.37, 275,201.90 and 159,211.88 is: 219,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,168.37 : 275,201.90 = 159,211.88 : x
  2. Step 2: Convert to fraction form
    199,168.37/275,201.90 = 159,211.88/x
  3. Step 3: Cross multiply
    199,168.37x = 275,201.90 × 159,211.88
  4. Step 4: Simplify right side
    199,168.37x = 43,815,412,231.12
  5. Step 5: Solve for x
    x = 43,815,412,231.12/199,168.37
  6. Step 6: Final answer
    x = 219,991.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.