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Finding the Fourth Proportional to 89,105, 133,553.82 and 36,450.68

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Solution

The fourth proportional to 89,105, 133,553.82 and 36,450.68 is: 54,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,105 : 133,553.82 = 36,450.68 : x
  2. Step 2: Convert to fraction form
    89,105/133,553.82 = 36,450.68/x
  3. Step 3: Cross multiply
    89,105x = 133,553.82 × 36,450.68
  4. Step 4: Simplify right side
    89,105x = 4,868,127,555.60
  5. Step 5: Solve for x
    x = 4,868,127,555.60/89,105
  6. Step 6: Final answer
    x = 54,633.61

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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.