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Finding the Fourth Proportional to 217,086.60, 325,629.90 and 76,859.40

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Solution

The fourth proportional to 217,086.60, 325,629.90 and 76,859.40 is: 115,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,086.60 : 325,629.90 = 76,859.40 : x
  2. Step 2: Convert to fraction form
    217,086.60/325,629.90 = 76,859.40/x
  3. Step 3: Cross multiply
    217,086.60x = 325,629.90 × 76,859.40
  4. Step 4: Simplify right side
    217,086.60x = 25,027,718,736.06
  5. Step 5: Solve for x
    x = 25,027,718,736.06/217,086.60
  6. Step 6: Final answer
    x = 115,289.10

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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.