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Finding the Fourth Proportional to 205,322, 308,105.88 and 88,586

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Solution

The fourth proportional to 205,322, 308,105.88 and 88,586 is: 132,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,322 : 308,105.88 = 88,586 : x
  2. Step 2: Convert to fraction form
    205,322/308,105.88 = 88,586/x
  3. Step 3: Cross multiply
    205,322x = 308,105.88 × 88,586
  4. Step 4: Simplify right side
    205,322x = 27,293,867,485.68
  5. Step 5: Solve for x
    x = 27,293,867,485.68/205,322
  6. Step 6: Final answer
    x = 132,932.02

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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.