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Finding the Fourth Proportional to 206,408.50, 309,627.33 and 81,749.50

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Solution

The fourth proportional to 206,408.50, 309,627.33 and 81,749.50 is: 122,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.50 : 309,627.33 = 81,749.50 : x
  2. Step 2: Convert to fraction form
    206,408.50/309,627.33 = 81,749.50/x
  3. Step 3: Cross multiply
    206,408.50x = 309,627.33 × 81,749.50
  4. Step 4: Simplify right side
    206,408.50x = 25,311,879,413.84
  5. Step 5: Solve for x
    x = 25,311,879,413.84/206,408.50
  6. Step 6: Final answer
    x = 122,630.02

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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.