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Finding the Fourth Proportional to 77,806.45, 116,696.80 and 27,879.13

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Solution

The fourth proportional to 77,806.45, 116,696.80 and 27,879.13 is: 41,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.45 : 116,696.80 = 27,879.13 : x
  2. Step 2: Convert to fraction form
    77,806.45/116,696.80 = 27,879.13/x
  3. Step 3: Cross multiply
    77,806.45x = 116,696.80 × 27,879.13
  4. Step 4: Simplify right side
    77,806.45x = 3,253,405,257.78
  5. Step 5: Solve for x
    x = 3,253,405,257.78/77,806.45
  6. Step 6: Final answer
    x = 41,814.08

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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.