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Finding the Fourth Proportional to 50,214, 75,321 and 20,647.92

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Solution

The fourth proportional to 50,214, 75,321 and 20,647.92 is: 30,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214 : 75,321 = 20,647.92 : x
  2. Step 2: Convert to fraction form
    50,214/75,321 = 20,647.92/x
  3. Step 3: Cross multiply
    50,214x = 75,321 × 20,647.92
  4. Step 4: Simplify right side
    50,214x = 1,555,221,982.32
  5. Step 5: Solve for x
    x = 1,555,221,982.32/50,214
  6. Step 6: Final answer
    x = 30,971.88

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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.