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Finding the Fourth Proportional to 57,105.70, 78,821.70 and 33,236.98

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Solution

The fourth proportional to 57,105.70, 78,821.70 and 33,236.98 is: 45,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.70 : 78,821.70 = 33,236.98 : x
  2. Step 2: Convert to fraction form
    57,105.70/78,821.70 = 33,236.98/x
  3. Step 3: Cross multiply
    57,105.70x = 78,821.70 × 33,236.98
  4. Step 4: Simplify right side
    57,105.70x = 2,619,795,266.47
  5. Step 5: Solve for x
    x = 2,619,795,266.47/57,105.70
  6. Step 6: Final answer
    x = 45,876.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.