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Finding the Fourth Proportional to 221,731.20, 332,596.80 and 133,084.80

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Solution

The fourth proportional to 221,731.20, 332,596.80 and 133,084.80 is: 199,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,731.20 : 332,596.80 = 133,084.80 : x
  2. Step 2: Convert to fraction form
    221,731.20/332,596.80 = 133,084.80/x
  3. Step 3: Cross multiply
    221,731.20x = 332,596.80 × 133,084.80
  4. Step 4: Simplify right side
    221,731.20x = 44,263,578,608.64
  5. Step 5: Solve for x
    x = 44,263,578,608.64/221,731.20
  6. Step 6: Final answer
    x = 199,627.20

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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.