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Finding the Fourth Proportional to 204,805.80, 307,171.80 and 145,400.05

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Solution

The fourth proportional to 204,805.80, 307,171.80 and 145,400.05 is: 218,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,805.80 : 307,171.80 = 145,400.05 : x
  2. Step 2: Convert to fraction form
    204,805.80/307,171.80 = 145,400.05/x
  3. Step 3: Cross multiply
    204,805.80x = 307,171.80 × 145,400.05
  4. Step 4: Simplify right side
    204,805.80x = 44,662,795,078.59
  5. Step 5: Solve for x
    x = 44,662,795,078.59/204,805.80
  6. Step 6: Final answer
    x = 218,073.88

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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.