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Finding the Fourth Proportional to 208,992.64, 313,500.80 and 66,850.39

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Solution

The fourth proportional to 208,992.64, 313,500.80 and 66,850.39 is: 100,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,992.64 : 313,500.80 = 66,850.39 : x
  2. Step 2: Convert to fraction form
    208,992.64/313,500.80 = 66,850.39/x
  3. Step 3: Cross multiply
    208,992.64x = 313,500.80 × 66,850.39
  4. Step 4: Simplify right side
    208,992.64x = 20,957,650,745.31
  5. Step 5: Solve for x
    x = 20,957,650,745.31/208,992.64
  6. Step 6: Final answer
    x = 100,279.37

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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.