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Finding the Fourth Proportional to 221,721.85, 332,665.40 and 133,039.00

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Solution

The fourth proportional to 221,721.85, 332,665.40 and 133,039.00 is: 199,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,721.85 : 332,665.40 = 133,039.00 : x
  2. Step 2: Convert to fraction form
    221,721.85/332,665.40 = 133,039.00/x
  3. Step 3: Cross multiply
    221,721.85x = 332,665.40 × 133,039.00
  4. Step 4: Simplify right side
    221,721.85x = 44,257,470,653.74
  5. Step 5: Solve for x
    x = 44,257,470,653.74/221,721.85
  6. Step 6: Final answer
    x = 199,608.07

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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.