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Finding the Fourth Proportional to 49,065.48, 67,724.82 and 28,928.88

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Solution

The fourth proportional to 49,065.48, 67,724.82 and 28,928.88 is: 39,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065.48 : 67,724.82 = 28,928.88 : x
  2. Step 2: Convert to fraction form
    49,065.48/67,724.82 = 28,928.88/x
  3. Step 3: Cross multiply
    49,065.48x = 67,724.82 × 28,928.88
  4. Step 4: Simplify right side
    49,065.48x = 1,959,203,190.80
  5. Step 5: Solve for x
    x = 1,959,203,190.80/49,065.48
  6. Step 6: Final answer
    x = 39,930.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.