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Finding the Fourth Proportional to 217,104.30, 325,672.65 and 76,844.70

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Solution

The fourth proportional to 217,104.30, 325,672.65 and 76,844.70 is: 115,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,104.30 : 325,672.65 = 76,844.70 : x
  2. Step 2: Convert to fraction form
    217,104.30/325,672.65 = 76,844.70/x
  3. Step 3: Cross multiply
    217,104.30x = 325,672.65 × 76,844.70
  4. Step 4: Simplify right side
    217,104.30x = 25,026,217,087.46
  5. Step 5: Solve for x
    x = 25,026,217,087.46/217,104.30
  6. Step 6: Final answer
    x = 115,272.78

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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.