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Finding the Fourth Proportional to 205,992.76, 308,911.38 and 95,107

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Solution

The fourth proportional to 205,992.76, 308,911.38 and 95,107 is: 142,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992.76 : 308,911.38 = 95,107 : x
  2. Step 2: Convert to fraction form
    205,992.76/308,911.38 = 95,107/x
  3. Step 3: Cross multiply
    205,992.76x = 308,911.38 × 95,107
  4. Step 4: Simplify right side
    205,992.76x = 29,379,634,617.66
  5. Step 5: Solve for x
    x = 29,379,634,617.66/205,992.76
  6. Step 6: Final answer
    x = 142,624.60

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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.