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Finding the Fourth Proportional to 205,173.80, 307,574.94 and 80,481.32

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Solution

The fourth proportional to 205,173.80, 307,574.94 and 80,481.32 is: 120,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,173.80 : 307,574.94 = 80,481.32 : x
  2. Step 2: Convert to fraction form
    205,173.80/307,574.94 = 80,481.32/x
  3. Step 3: Cross multiply
    205,173.80x = 307,574.94 × 80,481.32
  4. Step 4: Simplify right side
    205,173.80x = 24,754,037,170.12
  5. Step 5: Solve for x
    x = 24,754,037,170.12/205,173.80
  6. Step 6: Final answer
    x = 120,649.11

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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.