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Finding the Fourth Proportional to 68,198.85, 102,314.61 and 21,451.73

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Solution

The fourth proportional to 68,198.85, 102,314.61 and 21,451.73 is: 32,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,198.85 : 102,314.61 = 21,451.73 : x
  2. Step 2: Convert to fraction form
    68,198.85/102,314.61 = 21,451.73/x
  3. Step 3: Cross multiply
    68,198.85x = 102,314.61 × 21,451.73
  4. Step 4: Simplify right side
    68,198.85x = 2,194,824,877.20
  5. Step 5: Solve for x
    x = 2,194,824,877.20/68,198.85
  6. Step 6: Final answer
    x = 32,182.73

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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.