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Finding the Fourth Proportional to 204,907.96, 307,288 and 86,588.44

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Solution

The fourth proportional to 204,907.96, 307,288 and 86,588.44 is: 129,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.96 : 307,288 = 86,588.44 : x
  2. Step 2: Convert to fraction form
    204,907.96/307,288 = 86,588.44/x
  3. Step 3: Cross multiply
    204,907.96x = 307,288 × 86,588.44
  4. Step 4: Simplify right side
    204,907.96x = 26,607,588,550.72
  5. Step 5: Solve for x
    x = 26,607,588,550.72/204,907.96
  6. Step 6: Final answer
    x = 129,851.41

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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.