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Finding the Fourth Proportional to 275,113.02, 412,641.84 and 75,453.48

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Solution

The fourth proportional to 275,113.02, 412,641.84 and 75,453.48 is: 113,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,113.02 : 412,641.84 = 75,453.48 : x
  2. Step 2: Convert to fraction form
    275,113.02/412,641.84 = 75,453.48/x
  3. Step 3: Cross multiply
    275,113.02x = 412,641.84 × 75,453.48
  4. Step 4: Simplify right side
    275,113.02x = 31,135,262,821.60
  5. Step 5: Solve for x
    x = 31,135,262,821.60/275,113.02
  6. Step 6: Final answer
    x = 113,172.63

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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.