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Finding the Fourth Proportional to 208,274.57, 312,201.46 and 82,003.41

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Solution

The fourth proportional to 208,274.57, 312,201.46 and 82,003.41 is: 122,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,274.57 : 312,201.46 = 82,003.41 : x
  2. Step 2: Convert to fraction form
    208,274.57/312,201.46 = 82,003.41/x
  3. Step 3: Cross multiply
    208,274.57x = 312,201.46 × 82,003.41
  4. Step 4: Simplify right side
    208,274.57x = 25,601,584,326.98
  5. Step 5: Solve for x
    x = 25,601,584,326.98/208,274.57
  6. Step 6: Final answer
    x = 122,922.28

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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.