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Finding the Fourth Proportional to 49,872.96, 74,836.98 and 20,311.61

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Solution

The fourth proportional to 49,872.96, 74,836.98 and 20,311.61 is: 30,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,872.96 : 74,836.98 = 20,311.61 : x
  2. Step 2: Convert to fraction form
    49,872.96/74,836.98 = 20,311.61/x
  3. Step 3: Cross multiply
    49,872.96x = 74,836.98 × 20,311.61
  4. Step 4: Simplify right side
    49,872.96x = 1,520,059,177.15
  5. Step 5: Solve for x
    x = 1,520,059,177.15/49,872.96
  6. Step 6: Final answer
    x = 30,478.62

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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.