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Finding the Fourth Proportional to 275,104.65, 412,629.34 and 75,445.12

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Solution

The fourth proportional to 275,104.65, 412,629.34 and 75,445.12 is: 113,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,104.65 : 412,629.34 = 75,445.12 : x
  2. Step 2: Convert to fraction form
    275,104.65/412,629.34 = 75,445.12/x
  3. Step 3: Cross multiply
    275,104.65x = 412,629.34 × 75,445.12
  4. Step 4: Simplify right side
    275,104.65x = 31,130,870,540.45
  5. Step 5: Solve for x
    x = 31,130,870,540.45/275,104.65
  6. Step 6: Final answer
    x = 113,160.10

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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.