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Finding the Fourth Proportional to 274,859.72, 412,283.74 and 75,180.12

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Solution

The fourth proportional to 274,859.72, 412,283.74 and 75,180.12 is: 112,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,859.72 : 412,283.74 = 75,180.12 : x
  2. Step 2: Convert to fraction form
    274,859.72/412,283.74 = 75,180.12/x
  3. Step 3: Cross multiply
    274,859.72x = 412,283.74 × 75,180.12
  4. Step 4: Simplify right side
    274,859.72x = 30,995,541,047.25
  5. Step 5: Solve for x
    x = 30,995,541,047.25/274,859.72
  6. Step 6: Final answer
    x = 112,768.58

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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.