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Finding the Fourth Proportional to 133,621.70, 200,432.55 and 82,883.30

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Solution

The fourth proportional to 133,621.70, 200,432.55 and 82,883.30 is: 124,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,621.70 : 200,432.55 = 82,883.30 : x
  2. Step 2: Convert to fraction form
    133,621.70/200,432.55 = 82,883.30/x
  3. Step 3: Cross multiply
    133,621.70x = 200,432.55 × 82,883.30
  4. Step 4: Simplify right side
    133,621.70x = 16,612,511,171.42
  5. Step 5: Solve for x
    x = 16,612,511,171.42/133,621.70
  6. Step 6: Final answer
    x = 124,324.95

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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.