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Finding the Fourth Proportional to 221,481.83, 305,644.83 and 120,879.83

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Solution

The fourth proportional to 221,481.83, 305,644.83 and 120,879.83 is: 166,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,481.83 : 305,644.83 = 120,879.83 : x
  2. Step 2: Convert to fraction form
    221,481.83/305,644.83 = 120,879.83/x
  3. Step 3: Cross multiply
    221,481.83x = 305,644.83 × 120,879.83
  4. Step 4: Simplify right side
    221,481.83x = 36,946,293,562.55
  5. Step 5: Solve for x
    x = 36,946,293,562.55/221,481.83
  6. Step 6: Final answer
    x = 166,814.11

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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.