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Finding the Fourth Proportional to 77,405.92, 116,103.96 and 27,479.44

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Solution

The fourth proportional to 77,405.92, 116,103.96 and 27,479.44 is: 41,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,405.92 : 116,103.96 = 27,479.44 : x
  2. Step 2: Convert to fraction form
    77,405.92/116,103.96 = 27,479.44/x
  3. Step 3: Cross multiply
    77,405.92x = 116,103.96 × 27,479.44
  4. Step 4: Simplify right side
    77,405.92x = 3,190,471,802.58
  5. Step 5: Solve for x
    x = 3,190,471,802.58/77,405.92
  6. Step 6: Final answer
    x = 41,217.41

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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.