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Finding the Fourth Proportional to 221,916.38, 332,958.40 and 133,231.70

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Solution

The fourth proportional to 221,916.38, 332,958.40 and 133,231.70 is: 199,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,916.38 : 332,958.40 = 133,231.70 : x
  2. Step 2: Convert to fraction form
    221,916.38/332,958.40 = 133,231.70/x
  3. Step 3: Cross multiply
    221,916.38x = 332,958.40 × 133,231.70
  4. Step 4: Simplify right side
    221,916.38x = 44,360,614,160.60
  5. Step 5: Solve for x
    x = 44,360,614,160.60/221,916.38
  6. Step 6: Final answer
    x = 199,897.89

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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.