Home / 209,821.82-314,825.78-109,958.30

Finding the Fourth Proportional to 209,821.82, 314,825.78 and 109,958.30

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Solution

The fourth proportional to 209,821.82, 314,825.78 and 109,958.30 is: 164,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,821.82 : 314,825.78 = 109,958.30 : x
  2. Step 2: Convert to fraction form
    209,821.82/314,825.78 = 109,958.30/x
  3. Step 3: Cross multiply
    209,821.82x = 314,825.78 × 109,958.30
  4. Step 4: Simplify right side
    209,821.82x = 34,617,707,564.97
  5. Step 5: Solve for x
    x = 34,617,707,564.97/209,821.82
  6. Step 6: Final answer
    x = 164,986.21

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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.