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Finding the Fourth Proportional to 221,857.90, 332,786.85 and 133,065.70

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Solution

The fourth proportional to 221,857.90, 332,786.85 and 133,065.70 is: 199,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,857.90 : 332,786.85 = 133,065.70 : x
  2. Step 2: Convert to fraction form
    221,857.90/332,786.85 = 133,065.70/x
  3. Step 3: Cross multiply
    221,857.90x = 332,786.85 × 133,065.70
  4. Step 4: Simplify right side
    221,857.90x = 44,282,515,146.05
  5. Step 5: Solve for x
    x = 44,282,515,146.05/221,857.90
  6. Step 6: Final answer
    x = 199,598.55

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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.