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Finding the Fourth Proportional to 143,223.24, 214,834.92 and 54,456.24

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Solution

The fourth proportional to 143,223.24, 214,834.92 and 54,456.24 is: 81,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,223.24 : 214,834.92 = 54,456.24 : x
  2. Step 2: Convert to fraction form
    143,223.24/214,834.92 = 54,456.24/x
  3. Step 3: Cross multiply
    143,223.24x = 214,834.92 × 54,456.24
  4. Step 4: Simplify right side
    143,223.24x = 11,699,101,963.90
  5. Step 5: Solve for x
    x = 11,699,101,963.90/143,223.24
  6. Step 6: Final answer
    x = 81,684.38

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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.