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Finding the Fourth Proportional to 272,205.45, 408,308.18 and 82,665.45

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Solution

The fourth proportional to 272,205.45, 408,308.18 and 82,665.45 is: 123,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,205.45 : 408,308.18 = 82,665.45 : x
  2. Step 2: Convert to fraction form
    272,205.45/408,308.18 = 82,665.45/x
  3. Step 3: Cross multiply
    272,205.45x = 408,308.18 × 82,665.45
  4. Step 4: Simplify right side
    272,205.45x = 33,752,979,025.05
  5. Step 5: Solve for x
    x = 33,752,979,025.05/272,205.45
  6. Step 6: Final answer
    x = 123,998.18

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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.