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Finding the Fourth Proportional to 221,551.01, 305,738.84 and 120,949.01

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Solution

The fourth proportional to 221,551.01, 305,738.84 and 120,949.01 is: 166,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,551.01 : 305,738.84 = 120,949.01 : x
  2. Step 2: Convert to fraction form
    221,551.01/305,738.84 = 120,949.01/x
  3. Step 3: Cross multiply
    221,551.01x = 305,738.84 × 120,949.01
  4. Step 4: Simplify right side
    221,551.01x = 36,978,809,256.41
  5. Step 5: Solve for x
    x = 36,978,809,256.41/221,551.01
  6. Step 6: Final answer
    x = 166,908.78

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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.