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Finding the Fourth Proportional to 187,231.70, 280,847.55 and 82,255.70

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Solution

The fourth proportional to 187,231.70, 280,847.55 and 82,255.70 is: 123,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,231.70 : 280,847.55 = 82,255.70 : x
  2. Step 2: Convert to fraction form
    187,231.70/280,847.55 = 82,255.70/x
  3. Step 3: Cross multiply
    187,231.70x = 280,847.55 × 82,255.70
  4. Step 4: Simplify right side
    187,231.70x = 23,101,311,818.54
  5. Step 5: Solve for x
    x = 23,101,311,818.54/187,231.70
  6. Step 6: Final answer
    x = 123,383.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.