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Finding the Fourth Proportional to 51,171, 76,800.24 and 20,028.12

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Solution

The fourth proportional to 51,171, 76,800.24 and 20,028.12 is: 30,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171 : 76,800.24 = 20,028.12 : x
  2. Step 2: Convert to fraction form
    51,171/76,800.24 = 20,028.12/x
  3. Step 3: Cross multiply
    51,171x = 76,800.24 × 20,028.12
  4. Step 4: Simplify right side
    51,171x = 1,538,164,422.75
  5. Step 5: Solve for x
    x = 1,538,164,422.75/51,171
  6. Step 6: Final answer
    x = 30,059.30

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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.