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Finding the Fourth Proportional to 221,920.53, 332,964.60 and 133,235.85

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Solution

The fourth proportional to 221,920.53, 332,964.60 and 133,235.85 is: 199,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,920.53 : 332,964.60 = 133,235.85 : x
  2. Step 2: Convert to fraction form
    221,920.53/332,964.60 = 133,235.85/x
  3. Step 3: Cross multiply
    221,920.53x = 332,964.60 × 133,235.85
  4. Step 4: Simplify right side
    221,920.53x = 44,362,821,500.91
  5. Step 5: Solve for x
    x = 44,362,821,500.91/221,920.53
  6. Step 6: Final answer
    x = 199,904.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.