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Finding the Fourth Proportional to 78,645.42, 117,959.85 and 22,481.82

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Solution

The fourth proportional to 78,645.42, 117,959.85 and 22,481.82 is: 33,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,645.42 : 117,959.85 = 22,481.82 : x
  2. Step 2: Convert to fraction form
    78,645.42/117,959.85 = 22,481.82/x
  3. Step 3: Cross multiply
    78,645.42x = 117,959.85 × 22,481.82
  4. Step 4: Simplify right side
    78,645.42x = 2,651,952,114.93
  5. Step 5: Solve for x
    x = 2,651,952,114.93/78,645.42
  6. Step 6: Final answer
    x = 33,720.36

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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.