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Finding the Fourth Proportional to 205,906.90, 308,860.35 and 72,786.10

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Solution

The fourth proportional to 205,906.90, 308,860.35 and 72,786.10 is: 109,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,906.90 : 308,860.35 = 72,786.10 : x
  2. Step 2: Convert to fraction form
    205,906.90/308,860.35 = 72,786.10/x
  3. Step 3: Cross multiply
    205,906.90x = 308,860.35 × 72,786.10
  4. Step 4: Simplify right side
    205,906.90x = 22,480,740,321.14
  5. Step 5: Solve for x
    x = 22,480,740,321.14/205,906.90
  6. Step 6: Final answer
    x = 109,179.15

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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.