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Finding the Fourth Proportional to 275,071.82, 412,563.44 and 75,345.49

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Solution

The fourth proportional to 275,071.82, 412,563.44 and 75,345.49 is: 113,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,071.82 : 412,563.44 = 75,345.49 : x
  2. Step 2: Convert to fraction form
    275,071.82/412,563.44 = 75,345.49/x
  3. Step 3: Cross multiply
    275,071.82x = 412,563.44 × 75,345.49
  4. Step 4: Simplify right side
    275,071.82x = 31,084,795,246.95
  5. Step 5: Solve for x
    x = 31,084,795,246.95/275,071.82
  6. Step 6: Final answer
    x = 113,006.11

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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.