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Finding the Fourth Proportional to 51,295.20, 76,942.80 and 33,784.80

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Solution

The fourth proportional to 51,295.20, 76,942.80 and 33,784.80 is: 50,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,295.20 : 76,942.80 = 33,784.80 : x
  2. Step 2: Convert to fraction form
    51,295.20/76,942.80 = 33,784.80/x
  3. Step 3: Cross multiply
    51,295.20x = 76,942.80 × 33,784.80
  4. Step 4: Simplify right side
    51,295.20x = 2,599,497,109.44
  5. Step 5: Solve for x
    x = 2,599,497,109.44/51,295.20
  6. Step 6: Final answer
    x = 50,677.20

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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.