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Finding the Fourth Proportional to 49,782.84, 74,616.48 and 20,163.84

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Solution

The fourth proportional to 49,782.84, 74,616.48 and 20,163.84 is: 30,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,782.84 : 74,616.48 = 20,163.84 : x
  2. Step 2: Convert to fraction form
    49,782.84/74,616.48 = 20,163.84/x
  3. Step 3: Cross multiply
    49,782.84x = 74,616.48 × 20,163.84
  4. Step 4: Simplify right side
    49,782.84x = 1,504,554,764.08
  5. Step 5: Solve for x
    x = 1,504,554,764.08/49,782.84
  6. Step 6: Final answer
    x = 30,222.36

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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.