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Finding the Fourth Proportional to 221,043.25, 305,039.73 and 120,441.25

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Solution

The fourth proportional to 221,043.25, 305,039.73 and 120,441.25 is: 166,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,043.25 : 305,039.73 = 120,441.25 : x
  2. Step 2: Convert to fraction form
    221,043.25/305,039.73 = 120,441.25/x
  3. Step 3: Cross multiply
    221,043.25x = 305,039.73 × 120,441.25
  4. Step 4: Simplify right side
    221,043.25x = 36,739,366,380.86
  5. Step 5: Solve for x
    x = 36,739,366,380.86/221,043.25
  6. Step 6: Final answer
    x = 166,208.95

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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.