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Finding the Fourth Proportional to 49,969.53, 74,954.90 and 20,380.84

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Solution

The fourth proportional to 49,969.53, 74,954.90 and 20,380.84 is: 30,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,969.53 : 74,954.90 = 20,380.84 : x
  2. Step 2: Convert to fraction form
    49,969.53/74,954.90 = 20,380.84/x
  3. Step 3: Cross multiply
    49,969.53x = 74,954.90 × 20,380.84
  4. Step 4: Simplify right side
    49,969.53x = 1,527,643,687.68
  5. Step 5: Solve for x
    x = 1,527,643,687.68/49,969.53
  6. Step 6: Final answer
    x = 30,571.50

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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.