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Finding the Fourth Proportional to 275,157.45, 412,736.79 and 75,480.71

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Solution

The fourth proportional to 275,157.45, 412,736.79 and 75,480.71 is: 113,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,157.45 : 412,736.79 = 75,480.71 : x
  2. Step 2: Convert to fraction form
    275,157.45/412,736.79 = 75,480.71/x
  3. Step 3: Cross multiply
    275,157.45x = 412,736.79 × 75,480.71
  4. Step 4: Simplify right side
    275,157.45x = 31,153,663,888.64
  5. Step 5: Solve for x
    x = 31,153,663,888.64/275,157.45
  6. Step 6: Final answer
    x = 113,221.23

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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.