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Finding the Fourth Proportional to 20,119.20, 30,174 and 6,076.32

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Solution

The fourth proportional to 20,119.20, 30,174 and 6,076.32 is: 9,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.20 : 30,174 = 6,076.32 : x
  2. Step 2: Convert to fraction form
    20,119.20/30,174 = 6,076.32/x
  3. Step 3: Cross multiply
    20,119.20x = 30,174 × 6,076.32
  4. Step 4: Simplify right side
    20,119.20x = 183,346,879.68
  5. Step 5: Solve for x
    x = 183,346,879.68/20,119.20
  6. Step 6: Final answer
    x = 9,113.03

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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.