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Finding the Fourth Proportional to 205,313, 283,331.94 and 111,105

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Solution

The fourth proportional to 205,313, 283,331.94 and 111,105 is: 153,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,313 : 283,331.94 = 111,105 : x
  2. Step 2: Convert to fraction form
    205,313/283,331.94 = 111,105/x
  3. Step 3: Cross multiply
    205,313x = 283,331.94 × 111,105
  4. Step 4: Simplify right side
    205,313x = 31,479,595,193.70
  5. Step 5: Solve for x
    x = 31,479,595,193.70/205,313
  6. Step 6: Final answer
    x = 153,324.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.