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Finding the Fourth Proportional to 275,071.54, 412,563.02 and 75,345.21

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Solution

The fourth proportional to 275,071.54, 412,563.02 and 75,345.21 is: 113,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,071.54 : 412,563.02 = 75,345.21 : x
  2. Step 2: Convert to fraction form
    275,071.54/412,563.02 = 75,345.21/x
  3. Step 3: Cross multiply
    275,071.54x = 412,563.02 × 75,345.21
  4. Step 4: Simplify right side
    275,071.54x = 31,084,647,003.41
  5. Step 5: Solve for x
    x = 31,084,647,003.41/275,071.54
  6. Step 6: Final answer
    x = 113,005.68

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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.