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Finding the Fourth Proportional to 221,327.44, 305,431.86 and 120,725.44

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Solution

The fourth proportional to 221,327.44, 305,431.86 and 120,725.44 is: 166,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,327.44 : 305,431.86 = 120,725.44 : x
  2. Step 2: Convert to fraction form
    221,327.44/305,431.86 = 120,725.44/x
  3. Step 3: Cross multiply
    221,327.44x = 305,431.86 × 120,725.44
  4. Step 4: Simplify right side
    221,327.44x = 36,873,395,377.66
  5. Step 5: Solve for x
    x = 36,873,395,377.66/221,327.44
  6. Step 6: Final answer
    x = 166,601.10

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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.