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Finding the Fourth Proportional to 49,796.14, 74,694 and 20,213.72

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Solution

The fourth proportional to 49,796.14, 74,694 and 20,213.72 is: 30,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796.14 : 74,694 = 20,213.72 : x
  2. Step 2: Convert to fraction form
    49,796.14/74,694 = 20,213.72/x
  3. Step 3: Cross multiply
    49,796.14x = 74,694 × 20,213.72
  4. Step 4: Simplify right side
    49,796.14x = 1,509,843,601.68
  5. Step 5: Solve for x
    x = 1,509,843,601.68/49,796.14
  6. Step 6: Final answer
    x = 30,320.50

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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.