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Finding the Fourth Proportional to 204,509, 282,222.42 and 115,086.92

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Solution

The fourth proportional to 204,509, 282,222.42 and 115,086.92 is: 158,819.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,509 : 282,222.42 = 115,086.92 : x
  2. Step 2: Convert to fraction form
    204,509/282,222.42 = 115,086.92/x
  3. Step 3: Cross multiply
    204,509x = 282,222.42 × 115,086.92
  4. Step 4: Simplify right side
    204,509x = 32,480,109,072.75
  5. Step 5: Solve for x
    x = 32,480,109,072.75/204,509
  6. Step 6: Final answer
    x = 158,819.95

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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.