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Finding the Fourth Proportional to 205,149.90, 307,757.25 and 86,821.86

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Solution

The fourth proportional to 205,149.90, 307,757.25 and 86,821.86 is: 130,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,149.90 : 307,757.25 = 86,821.86 : x
  2. Step 2: Convert to fraction form
    205,149.90/307,757.25 = 86,821.86/x
  3. Step 3: Cross multiply
    205,149.90x = 307,757.25 × 86,821.86
  4. Step 4: Simplify right side
    205,149.90x = 26,720,056,873.49
  5. Step 5: Solve for x
    x = 26,720,056,873.49/205,149.90
  6. Step 6: Final answer
    x = 130,246.50

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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.