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Finding the Fourth Proportional to 209,224, 313,818.20 and 82,829.86

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Solution

The fourth proportional to 209,224, 313,818.20 and 82,829.86 is: 124,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224 : 313,818.20 = 82,829.86 : x
  2. Step 2: Convert to fraction form
    209,224/313,818.20 = 82,829.86/x
  3. Step 3: Cross multiply
    209,224x = 313,818.20 × 82,829.86
  4. Step 4: Simplify right side
    209,224x = 25,993,517,571.45
  5. Step 5: Solve for x
    x = 25,993,517,571.45/209,224
  6. Step 6: Final answer
    x = 124,237.74

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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.