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Finding the Fourth Proportional to 50,863.74, 70,182 and 28,201.74

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Solution

The fourth proportional to 50,863.74, 70,182 and 28,201.74 is: 38,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,863.74 : 70,182 = 28,201.74 : x
  2. Step 2: Convert to fraction form
    50,863.74/70,182 = 28,201.74/x
  3. Step 3: Cross multiply
    50,863.74x = 70,182 × 28,201.74
  4. Step 4: Simplify right side
    50,863.74x = 1,979,254,516.68
  5. Step 5: Solve for x
    x = 1,979,254,516.68/50,863.74
  6. Step 6: Final answer
    x = 38,912.88

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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.