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Finding the Fourth Proportional to 221,198.22, 305,253 and 125,704.80

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Solution

The fourth proportional to 221,198.22, 305,253 and 125,704.80 is: 173,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,198.22 : 305,253 = 125,704.80 : x
  2. Step 2: Convert to fraction form
    221,198.22/305,253 = 125,704.80/x
  3. Step 3: Cross multiply
    221,198.22x = 305,253 × 125,704.80
  4. Step 4: Simplify right side
    221,198.22x = 38,371,767,314.40
  5. Step 5: Solve for x
    x = 38,371,767,314.40/221,198.22
  6. Step 6: Final answer
    x = 173,472.32

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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.