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Finding the Fourth Proportional to 133,709.76, 200,490.66 and 54,879.48

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Solution

The fourth proportional to 133,709.76, 200,490.66 and 54,879.48 is: 82,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,709.76 : 200,490.66 = 54,879.48 : x
  2. Step 2: Convert to fraction form
    133,709.76/200,490.66 = 54,879.48/x
  3. Step 3: Cross multiply
    133,709.76x = 200,490.66 × 54,879.48
  4. Step 4: Simplify right side
    133,709.76x = 11,002,823,165.66
  5. Step 5: Solve for x
    x = 11,002,823,165.66/133,709.76
  6. Step 6: Final answer
    x = 82,288.86

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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.