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Finding the Fourth Proportional to 270,010.44, 405,072.90 and 92,469.78

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Solution

The fourth proportional to 270,010.44, 405,072.90 and 92,469.78 is: 138,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,010.44 : 405,072.90 = 92,469.78 : x
  2. Step 2: Convert to fraction form
    270,010.44/405,072.90 = 92,469.78/x
  3. Step 3: Cross multiply
    270,010.44x = 405,072.90 × 92,469.78
  4. Step 4: Simplify right side
    270,010.44x = 37,457,001,946.96
  5. Step 5: Solve for x
    x = 37,457,001,946.96/270,010.44
  6. Step 6: Final answer
    x = 138,724.27

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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.