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Finding the Fourth Proportional to 198,573.50, 274,031.44 and 109,149.50

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Solution

The fourth proportional to 198,573.50, 274,031.44 and 109,149.50 is: 150,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,573.50 : 274,031.44 = 109,149.50 : x
  2. Step 2: Convert to fraction form
    198,573.50/274,031.44 = 109,149.50/x
  3. Step 3: Cross multiply
    198,573.50x = 274,031.44 × 109,149.50
  4. Step 4: Simplify right side
    198,573.50x = 29,910,394,660.28
  5. Step 5: Solve for x
    x = 29,910,394,660.28/198,573.50
  6. Step 6: Final answer
    x = 150,626.32

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1.5x scale

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.