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Finding the Fourth Proportional to 205,879.30, 284,100.24 and 115,219.96

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Solution

The fourth proportional to 205,879.30, 284,100.24 and 115,219.96 is: 158,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,879.30 : 284,100.24 = 115,219.96 : x
  2. Step 2: Convert to fraction form
    205,879.30/284,100.24 = 115,219.96/x
  3. Step 3: Cross multiply
    205,879.30x = 284,100.24 × 115,219.96
  4. Step 4: Simplify right side
    205,879.30x = 32,734,018,288.79
  5. Step 5: Solve for x
    x = 32,734,018,288.79/205,879.30
  6. Step 6: Final answer
    x = 158,996.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.