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Finding the Fourth Proportional to 78,241.31, 117,382.44 and 33,857.66

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Solution

The fourth proportional to 78,241.31, 117,382.44 and 33,857.66 is: 50,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,241.31 : 117,382.44 = 33,857.66 : x
  2. Step 2: Convert to fraction form
    78,241.31/117,382.44 = 33,857.66/x
  3. Step 3: Cross multiply
    78,241.31x = 117,382.44 × 33,857.66
  4. Step 4: Simplify right side
    78,241.31x = 3,974,294,743.49
  5. Step 5: Solve for x
    x = 3,974,294,743.49/78,241.31
  6. Step 6: Final answer
    x = 50,795.35

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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.