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Finding the Fourth Proportional to 209,220, 313,812.20 and 82,825.86

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Solution

The fourth proportional to 209,220, 313,812.20 and 82,825.86 is: 124,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,220 : 313,812.20 = 82,825.86 : x
  2. Step 2: Convert to fraction form
    209,220/313,812.20 = 82,825.86/x
  3. Step 3: Cross multiply
    209,220x = 313,812.20 × 82,825.86
  4. Step 4: Simplify right side
    209,220x = 25,991,765,343.49
  5. Step 5: Solve for x
    x = 25,991,765,343.49/209,220
  6. Step 6: Final answer
    x = 124,231.74

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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.