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Finding the Fourth Proportional to 207,951.93, 311,927.85 and 81,651.69

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Solution

The fourth proportional to 207,951.93, 311,927.85 and 81,651.69 is: 122,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,951.93 : 311,927.85 = 81,651.69 : x
  2. Step 2: Convert to fraction form
    207,951.93/311,927.85 = 81,651.69/x
  3. Step 3: Cross multiply
    207,951.93x = 311,927.85 × 81,651.69
  4. Step 4: Simplify right side
    207,951.93x = 25,469,436,110.57
  5. Step 5: Solve for x
    x = 25,469,436,110.57/207,951.93
  6. Step 6: Final answer
    x = 122,477.52

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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.