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Finding the Fourth Proportional to 51,243.75, 76,876.56 and 20,079

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Solution

The fourth proportional to 51,243.75, 76,876.56 and 20,079 is: 30,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,243.75 : 76,876.56 = 20,079 : x
  2. Step 2: Convert to fraction form
    51,243.75/76,876.56 = 20,079/x
  3. Step 3: Cross multiply
    51,243.75x = 76,876.56 × 20,079
  4. Step 4: Simplify right side
    51,243.75x = 1,543,604,448.24
  5. Step 5: Solve for x
    x = 1,543,604,448.24/51,243.75
  6. Step 6: Final answer
    x = 30,122.78

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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.