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Finding the Fourth Proportional to 49,769.20, 74,653.80 and 20,171.80

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Solution

The fourth proportional to 49,769.20, 74,653.80 and 20,171.80 is: 30,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,769.20 : 74,653.80 = 20,171.80 : x
  2. Step 2: Convert to fraction form
    49,769.20/74,653.80 = 20,171.80/x
  3. Step 3: Cross multiply
    49,769.20x = 74,653.80 × 20,171.80
  4. Step 4: Simplify right side
    49,769.20x = 1,505,901,522.84
  5. Step 5: Solve for x
    x = 1,505,901,522.84/49,769.20
  6. Step 6: Final answer
    x = 30,257.70

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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.