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Finding the Fourth Proportional to 89,078.97, 122,930 and 50,843.68

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Solution

The fourth proportional to 89,078.97, 122,930 and 50,843.68 is: 70,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,078.97 : 122,930 = 50,843.68 : x
  2. Step 2: Convert to fraction form
    89,078.97/122,930 = 50,843.68/x
  3. Step 3: Cross multiply
    89,078.97x = 122,930 × 50,843.68
  4. Step 4: Simplify right side
    89,078.97x = 6,250,213,582.40
  5. Step 5: Solve for x
    x = 6,250,213,582.40/89,078.97
  6. Step 6: Final answer
    x = 70,164.86

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1.5x scale

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.