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Finding the Fourth Proportional to 151,663.92, 227,469.96 and 40,830

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Solution

The fourth proportional to 151,663.92, 227,469.96 and 40,830 is: 61,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,663.92 : 227,469.96 = 40,830 : x
  2. Step 2: Convert to fraction form
    151,663.92/227,469.96 = 40,830/x
  3. Step 3: Cross multiply
    151,663.92x = 227,469.96 × 40,830
  4. Step 4: Simplify right side
    151,663.92x = 9,287,598,466.80
  5. Step 5: Solve for x
    x = 9,287,598,466.80/151,663.92
  6. Step 6: Final answer
    x = 61,238.02

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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.