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Finding the Fourth Proportional to 221,041.78, 305,037.60 and 120,439.78

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Solution

The fourth proportional to 221,041.78, 305,037.60 and 120,439.78 is: 166,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,041.78 : 305,037.60 = 120,439.78 : x
  2. Step 2: Convert to fraction form
    221,041.78/305,037.60 = 120,439.78/x
  3. Step 3: Cross multiply
    221,041.78x = 305,037.60 × 120,439.78
  4. Step 4: Simplify right side
    221,041.78x = 36,738,661,435.73
  5. Step 5: Solve for x
    x = 36,738,661,435.73/221,041.78
  6. Step 6: Final answer
    x = 166,206.87

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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.