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Finding the Fourth Proportional to 109,879.20, 164,843.69 and 39,758.49

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Solution

The fourth proportional to 109,879.20, 164,843.69 and 39,758.49 is: 59,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,879.20 : 164,843.69 = 39,758.49 : x
  2. Step 2: Convert to fraction form
    109,879.20/164,843.69 = 39,758.49/x
  3. Step 3: Cross multiply
    109,879.20x = 164,843.69 × 39,758.49
  4. Step 4: Simplify right side
    109,879.20x = 6,553,936,001.64
  5. Step 5: Solve for x
    x = 6,553,936,001.64/109,879.20
  6. Step 6: Final answer
    x = 59,646.74

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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.