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Finding the Fourth Proportional to 199,863.86, 275,803.94 and 109,222.88

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Solution

The fourth proportional to 199,863.86, 275,803.94 and 109,222.88 is: 150,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,863.86 : 275,803.94 = 109,222.88 : x
  2. Step 2: Convert to fraction form
    199,863.86/275,803.94 = 109,222.88/x
  3. Step 3: Cross multiply
    199,863.86x = 275,803.94 × 109,222.88
  4. Step 4: Simplify right side
    199,863.86x = 30,124,100,473.20
  5. Step 5: Solve for x
    x = 30,124,100,473.20/199,863.86
  6. Step 6: Final answer
    x = 150,723.10

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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.