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Finding the Fourth Proportional to 76,794.69, 115,184.25 and 20,627.49

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Solution

The fourth proportional to 76,794.69, 115,184.25 and 20,627.49 is: 30,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.69 : 115,184.25 = 20,627.49 : x
  2. Step 2: Convert to fraction form
    76,794.69/115,184.25 = 20,627.49/x
  3. Step 3: Cross multiply
    76,794.69x = 115,184.25 × 20,627.49
  4. Step 4: Simplify right side
    76,794.69x = 2,375,961,965.03
  5. Step 5: Solve for x
    x = 2,375,961,965.03/76,794.69
  6. Step 6: Final answer
    x = 30,939.14

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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.