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Finding the Fourth Proportional to 221,193, 331,790.72 and 54,981

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Solution

The fourth proportional to 221,193, 331,790.72 and 54,981 is: 82,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,193 : 331,790.72 = 54,981 : x
  2. Step 2: Convert to fraction form
    221,193/331,790.72 = 54,981/x
  3. Step 3: Cross multiply
    221,193x = 331,790.72 × 54,981
  4. Step 4: Simplify right side
    221,193x = 18,242,185,301.42
  5. Step 5: Solve for x
    x = 18,242,185,301.42/221,193
  6. Step 6: Final answer
    x = 82,471.80

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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.