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Finding the Fourth Proportional to 71,428.92, 98,571.12 and 41,213.88

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Solution

The fourth proportional to 71,428.92, 98,571.12 and 41,213.88 is: 56,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428.92 : 98,571.12 = 41,213.88 : x
  2. Step 2: Convert to fraction form
    71,428.92/98,571.12 = 41,213.88/x
  3. Step 3: Cross multiply
    71,428.92x = 98,571.12 × 41,213.88
  4. Step 4: Simplify right side
    71,428.92x = 4,062,498,311.15
  5. Step 5: Solve for x
    x = 4,062,498,311.15/71,428.92
  6. Step 6: Final answer
    x = 56,874.70

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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.