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Finding the Fourth Proportional to 126,855.44, 175,061.16 and 82,221.20

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Solution

The fourth proportional to 126,855.44, 175,061.16 and 82,221.20 is: 113,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,855.44 : 175,061.16 = 82,221.20 : x
  2. Step 2: Convert to fraction form
    126,855.44/175,061.16 = 82,221.20/x
  3. Step 3: Cross multiply
    126,855.44x = 175,061.16 × 82,221.20
  4. Step 4: Simplify right side
    126,855.44x = 14,393,738,648.59
  5. Step 5: Solve for x
    x = 14,393,738,648.59/126,855.44
  6. Step 6: Final answer
    x = 113,465.68

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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.