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Finding the Fourth Proportional to 209,212.52, 313,839.51 and 67,021.98

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Solution

The fourth proportional to 209,212.52, 313,839.51 and 67,021.98 is: 100,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,212.52 : 313,839.51 = 67,021.98 : x
  2. Step 2: Convert to fraction form
    209,212.52/313,839.51 = 67,021.98/x
  3. Step 3: Cross multiply
    209,212.52x = 313,839.51 × 67,021.98
  4. Step 4: Simplify right side
    209,212.52x = 21,034,146,076.55
  5. Step 5: Solve for x
    x = 21,034,146,076.55/209,212.52
  6. Step 6: Final answer
    x = 100,539.61

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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.