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Finding the Fourth Proportional to 50,449.70, 75,672.92 and 20,858.78

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Solution

The fourth proportional to 50,449.70, 75,672.92 and 20,858.78 is: 31,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,449.70 : 75,672.92 = 20,858.78 : x
  2. Step 2: Convert to fraction form
    50,449.70/75,672.92 = 20,858.78/x
  3. Step 3: Cross multiply
    50,449.70x = 75,672.92 × 20,858.78
  4. Step 4: Simplify right side
    50,449.70x = 1,578,444,790.24
  5. Step 5: Solve for x
    x = 1,578,444,790.24/50,449.70
  6. Step 6: Final answer
    x = 31,287.50

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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.