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Finding the Fourth Proportional to 205,872.69, 284,105.73 and 115,237.05

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Solution

The fourth proportional to 205,872.69, 284,105.73 and 115,237.05 is: 159,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872.69 : 284,105.73 = 115,237.05 : x
  2. Step 2: Convert to fraction form
    205,872.69/284,105.73 = 115,237.05/x
  3. Step 3: Cross multiply
    205,872.69x = 284,105.73 × 115,237.05
  4. Step 4: Simplify right side
    205,872.69x = 32,739,506,213.30
  5. Step 5: Solve for x
    x = 32,739,506,213.30/205,872.69
  6. Step 6: Final answer
    x = 159,027.92

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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.