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Finding the Fourth Proportional to 221,508, 305,687.52 and 120,912.48

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Solution

The fourth proportional to 221,508, 305,687.52 and 120,912.48 is: 166,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,508 : 305,687.52 = 120,912.48 : x
  2. Step 2: Convert to fraction form
    221,508/305,687.52 = 120,912.48/x
  3. Step 3: Cross multiply
    221,508x = 305,687.52 × 120,912.48
  4. Step 4: Simplify right side
    221,508x = 36,961,436,148.25
  5. Step 5: Solve for x
    x = 36,961,436,148.25/221,508
  6. Step 6: Final answer
    x = 166,862.76

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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.