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Finding the Fourth Proportional to 275,083.44, 412,621.82 and 75,403.67

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Solution

The fourth proportional to 275,083.44, 412,621.82 and 75,403.67 is: 113,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,083.44 : 412,621.82 = 75,403.67 : x
  2. Step 2: Convert to fraction form
    275,083.44/412,621.82 = 75,403.67/x
  3. Step 3: Cross multiply
    275,083.44x = 412,621.82 × 75,403.67
  4. Step 4: Simplify right side
    275,083.44x = 31,113,197,109.95
  5. Step 5: Solve for x
    x = 31,113,197,109.95/275,083.44
  6. Step 6: Final answer
    x = 113,104.58

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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.