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Finding the Fourth Proportional to 217,125.20, 325,687.80 and 76,865.60

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Solution

The fourth proportional to 217,125.20, 325,687.80 and 76,865.60 is: 115,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,125.20 : 325,687.80 = 76,865.60 : x
  2. Step 2: Convert to fraction form
    217,125.20/325,687.80 = 76,865.60/x
  3. Step 3: Cross multiply
    217,125.20x = 325,687.80 × 76,865.60
  4. Step 4: Simplify right side
    217,125.20x = 25,034,188,159.68
  5. Step 5: Solve for x
    x = 25,034,188,159.68/217,125.20
  6. Step 6: Final answer
    x = 115,298.40

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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.