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Finding the Fourth Proportional to 77,976.70, 116,963.97 and 18,811.87

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Solution

The fourth proportional to 77,976.70, 116,963.97 and 18,811.87 is: 28,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976.70 : 116,963.97 = 18,811.87 : x
  2. Step 2: Convert to fraction form
    77,976.70/116,963.97 = 18,811.87/x
  3. Step 3: Cross multiply
    77,976.70x = 116,963.97 × 18,811.87
  4. Step 4: Simplify right side
    77,976.70x = 2,200,310,998.32
  5. Step 5: Solve for x
    x = 2,200,310,998.32/77,976.70
  6. Step 6: Final answer
    x = 28,217.54

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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.