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Finding the Fourth Proportional to 274,805.57, 412,208.70 and 75,127.68

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Solution

The fourth proportional to 274,805.57, 412,208.70 and 75,127.68 is: 112,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,805.57 : 412,208.70 = 75,127.68 : x
  2. Step 2: Convert to fraction form
    274,805.57/412,208.70 = 75,127.68/x
  3. Step 3: Cross multiply
    274,805.57x = 412,208.70 × 75,127.68
  4. Step 4: Simplify right side
    274,805.57x = 30,968,283,306.82
  5. Step 5: Solve for x
    x = 30,968,283,306.82/274,805.57
  6. Step 6: Final answer
    x = 112,691.62

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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.