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Finding the Fourth Proportional to 50,539.56, 75,776.94 and 20,977.80

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Solution

The fourth proportional to 50,539.56, 75,776.94 and 20,977.80 is: 31,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,539.56 : 75,776.94 = 20,977.80 : x
  2. Step 2: Convert to fraction form
    50,539.56/75,776.94 = 20,977.80/x
  3. Step 3: Cross multiply
    50,539.56x = 75,776.94 × 20,977.80
  4. Step 4: Simplify right side
    50,539.56x = 1,589,633,491.93
  5. Step 5: Solve for x
    x = 1,589,633,491.93/50,539.56
  6. Step 6: Final answer
    x = 31,453.25

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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.