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Finding the Fourth Proportional to 148,694.42, 205,201.94 and 80,711.22

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Solution

The fourth proportional to 148,694.42, 205,201.94 and 80,711.22 is: 111,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,694.42 : 205,201.94 = 80,711.22 : x
  2. Step 2: Convert to fraction form
    148,694.42/205,201.94 = 80,711.22/x
  3. Step 3: Cross multiply
    148,694.42x = 205,201.94 × 80,711.22
  4. Step 4: Simplify right side
    148,694.42x = 16,562,099,795.65
  5. Step 5: Solve for x
    x = 16,562,099,795.65/148,694.42
  6. Step 6: Final answer
    x = 111,383.46

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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.