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Finding the Fourth Proportional to 90,289.44, 135,469.80 and 27,964.80

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Solution

The fourth proportional to 90,289.44, 135,469.80 and 27,964.80 is: 41,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,289.44 : 135,469.80 = 27,964.80 : x
  2. Step 2: Convert to fraction form
    90,289.44/135,469.80 = 27,964.80/x
  3. Step 3: Cross multiply
    90,289.44x = 135,469.80 × 27,964.80
  4. Step 4: Simplify right side
    90,289.44x = 3,788,385,863.04
  5. Step 5: Solve for x
    x = 3,788,385,863.04/90,289.44
  6. Step 6: Final answer
    x = 41,958.24

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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.