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Finding the Fourth Proportional to 205,297.66, 307,965.93 and 80,609.50

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Solution

The fourth proportional to 205,297.66, 307,965.93 and 80,609.50 is: 120,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,297.66 : 307,965.93 = 80,609.50 : x
  2. Step 2: Convert to fraction form
    205,297.66/307,965.93 = 80,609.50/x
  3. Step 3: Cross multiply
    205,297.66x = 307,965.93 × 80,609.50
  4. Step 4: Simplify right side
    205,297.66x = 24,824,979,634.34
  5. Step 5: Solve for x
    x = 24,824,979,634.34/205,297.66
  6. Step 6: Final answer
    x = 120,921.88

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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.