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Finding the Fourth Proportional to 221,082.58, 305,093.97 and 120,480.50

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Solution

The fourth proportional to 221,082.58, 305,093.97 and 120,480.50 is: 166,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.58 : 305,093.97 = 120,480.50 : x
  2. Step 2: Convert to fraction form
    221,082.58/305,093.97 = 120,480.50/x
  3. Step 3: Cross multiply
    221,082.58x = 305,093.97 × 120,480.50
  4. Step 4: Simplify right side
    221,082.58x = 36,757,874,052.59
  5. Step 5: Solve for x
    x = 36,757,874,052.59/221,082.58
  6. Step 6: Final answer
    x = 166,263.10

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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.