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Finding the Fourth Proportional to 208,893.26, 313,309.83 and 66,754.73

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Solution

The fourth proportional to 208,893.26, 313,309.83 and 66,754.73 is: 100,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,893.26 : 313,309.83 = 66,754.73 : x
  2. Step 2: Convert to fraction form
    208,893.26/313,309.83 = 66,754.73/x
  3. Step 3: Cross multiply
    208,893.26x = 313,309.83 × 66,754.73
  4. Step 4: Simplify right side
    208,893.26x = 20,914,913,108.00
  5. Step 5: Solve for x
    x = 20,914,913,108.00/208,893.26
  6. Step 6: Final answer
    x = 100,122.49

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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.