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Finding the Fourth Proportional to 78,203.82, 117,322.14 and 33,836.88

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Solution

The fourth proportional to 78,203.82, 117,322.14 and 33,836.88 is: 50,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.82 : 117,322.14 = 33,836.88 : x
  2. Step 2: Convert to fraction form
    78,203.82/117,322.14 = 33,836.88/x
  3. Step 3: Cross multiply
    78,203.82x = 117,322.14 × 33,836.88
  4. Step 4: Simplify right side
    78,203.82x = 3,969,815,172.52
  5. Step 5: Solve for x
    x = 3,969,815,172.52/78,203.82
  6. Step 6: Final answer
    x = 50,762.42

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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.