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Finding the Fourth Proportional to 83,920.69, 115,771.44 and 49,910.11

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Solution

The fourth proportional to 83,920.69, 115,771.44 and 49,910.11 is: 68,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.69 : 115,771.44 = 49,910.11 : x
  2. Step 2: Convert to fraction form
    83,920.69/115,771.44 = 49,910.11/x
  3. Step 3: Cross multiply
    83,920.69x = 115,771.44 × 49,910.11
  4. Step 4: Simplify right side
    83,920.69x = 5,778,165,202.99
  5. Step 5: Solve for x
    x = 5,778,165,202.99/83,920.69
  6. Step 6: Final answer
    x = 68,852.69

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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.