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Finding the Fourth Proportional to 209,219.86, 313,812 and 82,825.75

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Solution

The fourth proportional to 209,219.86, 313,812 and 82,825.75 is: 124,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,219.86 : 313,812 = 82,825.75 : x
  2. Step 2: Convert to fraction form
    209,219.86/313,812 = 82,825.75/x
  3. Step 3: Cross multiply
    209,219.86x = 313,812 × 82,825.75
  4. Step 4: Simplify right side
    209,219.86x = 25,991,714,259
  5. Step 5: Solve for x
    x = 25,991,714,259/209,219.86
  6. Step 6: Final answer
    x = 124,231.58

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1.5x scale

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.