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Finding the Fourth Proportional to 276,121.48, 413,640.92 and 143,089

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Solution

The fourth proportional to 276,121.48, 413,640.92 and 143,089 is: 214,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,121.48 : 413,640.92 = 143,089 : x
  2. Step 2: Convert to fraction form
    276,121.48/413,640.92 = 143,089/x
  3. Step 3: Cross multiply
    276,121.48x = 413,640.92 × 143,089
  4. Step 4: Simplify right side
    276,121.48x = 59,187,465,601.88
  5. Step 5: Solve for x
    x = 59,187,465,601.88/276,121.48
  6. Step 6: Final answer
    x = 214,352.99

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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.