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Finding the Fourth Proportional to 274,711.41, 412,082.69 and 85,198.71

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Solution

The fourth proportional to 274,711.41, 412,082.69 and 85,198.71 is: 127,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,711.41 : 412,082.69 = 85,198.71 : x
  2. Step 2: Convert to fraction form
    274,711.41/412,082.69 = 85,198.71/x
  3. Step 3: Cross multiply
    274,711.41x = 412,082.69 × 85,198.71
  4. Step 4: Simplify right side
    274,711.41x = 35,108,913,601.33
  5. Step 5: Solve for x
    x = 35,108,913,601.33/274,711.41
  6. Step 6: Final answer
    x = 127,802.90

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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.