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Finding the Fourth Proportional to 143,083.86, 214,836.42 and 80,027.52

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Solution

The fourth proportional to 143,083.86, 214,836.42 and 80,027.52 is: 120,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,083.86 : 214,836.42 = 80,027.52 : x
  2. Step 2: Convert to fraction form
    143,083.86/214,836.42 = 80,027.52/x
  3. Step 3: Cross multiply
    143,083.86x = 214,836.42 × 80,027.52
  4. Step 4: Simplify right side
    143,083.86x = 17,192,825,898.28
  5. Step 5: Solve for x
    x = 17,192,825,898.28/143,083.86
  6. Step 6: Final answer
    x = 120,159.09

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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.