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Finding the Fourth Proportional to 204,909.96, 307,291 and 86,590.44

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Solution

The fourth proportional to 204,909.96, 307,291 and 86,590.44 is: 129,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,909.96 : 307,291 = 86,590.44 : x
  2. Step 2: Convert to fraction form
    204,909.96/307,291 = 86,590.44/x
  3. Step 3: Cross multiply
    204,909.96x = 307,291 × 86,590.44
  4. Step 4: Simplify right side
    204,909.96x = 26,608,462,898.04
  5. Step 5: Solve for x
    x = 26,608,462,898.04/204,909.96
  6. Step 6: Final answer
    x = 129,854.41

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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.