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Finding the Fourth Proportional to 205,859.36, 308,733.54 and 72,722.09

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Solution

The fourth proportional to 205,859.36, 308,733.54 and 72,722.09 is: 109,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,859.36 : 308,733.54 = 72,722.09 : x
  2. Step 2: Convert to fraction form
    205,859.36/308,733.54 = 72,722.09/x
  3. Step 3: Cross multiply
    205,859.36x = 308,733.54 × 72,722.09
  4. Step 4: Simplify right side
    205,859.36x = 22,451,746,738.23
  5. Step 5: Solve for x
    x = 22,451,746,738.23/205,859.36
  6. Step 6: Final answer
    x = 109,063.52

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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.