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Finding the Fourth Proportional to 205,514.73, 308,238.48 and 72,363.69

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Solution

The fourth proportional to 205,514.73, 308,238.48 and 72,363.69 is: 108,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.73 : 308,238.48 = 72,363.69 : x
  2. Step 2: Convert to fraction form
    205,514.73/308,238.48 = 72,363.69/x
  3. Step 3: Cross multiply
    205,514.73x = 308,238.48 × 72,363.69
  4. Step 4: Simplify right side
    205,514.73x = 22,305,273,812.79
  5. Step 5: Solve for x
    x = 22,305,273,812.79/205,514.73
  6. Step 6: Final answer
    x = 108,533.70

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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.