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Finding the Fourth Proportional to 149,691.09, 206,578.70 and 81,712.09

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Solution

The fourth proportional to 149,691.09, 206,578.70 and 81,712.09 is: 112,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,691.09 : 206,578.70 = 81,712.09 : x
  2. Step 2: Convert to fraction form
    149,691.09/206,578.70 = 81,712.09/x
  3. Step 3: Cross multiply
    149,691.09x = 206,578.70 × 81,712.09
  4. Step 4: Simplify right side
    149,691.09x = 16,879,977,942.20
  5. Step 5: Solve for x
    x = 16,879,977,942.20/149,691.09
  6. Step 6: Final answer
    x = 112,765.42

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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.