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Finding the Fourth Proportional to 204,997.74, 307,498.67 and 71,881.20

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Solution

The fourth proportional to 204,997.74, 307,498.67 and 71,881.20 is: 107,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997.74 : 307,498.67 = 71,881.20 : x
  2. Step 2: Convert to fraction form
    204,997.74/307,498.67 = 71,881.20/x
  3. Step 3: Cross multiply
    204,997.74x = 307,498.67 × 71,881.20
  4. Step 4: Simplify right side
    204,997.74x = 22,103,373,398.00
  5. Step 5: Solve for x
    x = 22,103,373,398.00/204,997.74
  6. Step 6: Final answer
    x = 107,822.52

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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.