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Finding the Fourth Proportional to 221,571.42, 305,766.97 and 120,969.42

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Solution

The fourth proportional to 221,571.42, 305,766.97 and 120,969.42 is: 166,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,571.42 : 305,766.97 = 120,969.42 : x
  2. Step 2: Convert to fraction form
    221,571.42/305,766.97 = 120,969.42/x
  3. Step 3: Cross multiply
    221,571.42x = 305,766.97 × 120,969.42
  4. Step 4: Simplify right side
    221,571.42x = 36,988,453,016.06
  5. Step 5: Solve for x
    x = 36,988,453,016.06/221,571.42
  6. Step 6: Final answer
    x = 166,936.93

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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.