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Finding the Fourth Proportional to 133,821.99, 200,338.92 and 89,338.41

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Solution

The fourth proportional to 133,821.99, 200,338.92 and 89,338.41 is: 133,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.99 : 200,338.92 = 89,338.41 : x
  2. Step 2: Convert to fraction form
    133,821.99/200,338.92 = 89,338.41/x
  3. Step 3: Cross multiply
    133,821.99x = 200,338.92 × 89,338.41
  4. Step 4: Simplify right side
    133,821.99x = 17,897,960,573.92
  5. Step 5: Solve for x
    x = 17,897,960,573.92/133,821.99
  6. Step 6: Final answer
    x = 133,744.54

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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.