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Finding the Fourth Proportional to 202,112.82, 303,247.80 and 83,754

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Solution

The fourth proportional to 202,112.82, 303,247.80 and 83,754 is: 125,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,112.82 : 303,247.80 = 83,754 : x
  2. Step 2: Convert to fraction form
    202,112.82/303,247.80 = 83,754/x
  3. Step 3: Cross multiply
    202,112.82x = 303,247.80 × 83,754
  4. Step 4: Simplify right side
    202,112.82x = 25,398,216,241.20
  5. Step 5: Solve for x
    x = 25,398,216,241.20/202,112.82
  6. Step 6: Final answer
    x = 125,663.56

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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.