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Finding the Fourth Proportional to 198,563.45, 274,019.66 and 107,919.44

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Solution

The fourth proportional to 198,563.45, 274,019.66 and 107,919.44 is: 148,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,563.45 : 274,019.66 = 107,919.44 : x
  2. Step 2: Convert to fraction form
    198,563.45/274,019.66 = 107,919.44/x
  3. Step 3: Cross multiply
    198,563.45x = 274,019.66 × 107,919.44
  4. Step 4: Simplify right side
    198,563.45x = 29,572,047,778.77
  5. Step 5: Solve for x
    x = 29,572,047,778.77/198,563.45
  6. Step 6: Final answer
    x = 148,929.97

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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.