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Finding the Fourth Proportional to 136,243.80, 188,021.88 and 82,498.50

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Solution

The fourth proportional to 136,243.80, 188,021.88 and 82,498.50 is: 113,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,243.80 : 188,021.88 = 82,498.50 : x
  2. Step 2: Convert to fraction form
    136,243.80/188,021.88 = 82,498.50/x
  3. Step 3: Cross multiply
    136,243.80x = 188,021.88 × 82,498.50
  4. Step 4: Simplify right side
    136,243.80x = 15,511,523,067.18
  5. Step 5: Solve for x
    x = 15,511,523,067.18/136,243.80
  6. Step 6: Final answer
    x = 113,851.22

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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.