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Finding the Fourth Proportional to 148,694.51, 205,198.90 and 80,711.54

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Solution

The fourth proportional to 148,694.51, 205,198.90 and 80,711.54 is: 111,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,694.51 : 205,198.90 = 80,711.54 : x
  2. Step 2: Convert to fraction form
    148,694.51/205,198.90 = 80,711.54/x
  3. Step 3: Cross multiply
    148,694.51x = 205,198.90 × 80,711.54
  4. Step 4: Simplify right side
    148,694.51x = 16,561,919,225.31
  5. Step 5: Solve for x
    x = 16,561,919,225.31/148,694.51
  6. Step 6: Final answer
    x = 111,382.18

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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.