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Finding the Fourth Proportional to 143,098.69, 214,648.03 and 54,351.97

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Solution

The fourth proportional to 143,098.69, 214,648.03 and 54,351.97 is: 81,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098.69 : 214,648.03 = 54,351.97 : x
  2. Step 2: Convert to fraction form
    143,098.69/214,648.03 = 54,351.97/x
  3. Step 3: Cross multiply
    143,098.69x = 214,648.03 × 54,351.97
  4. Step 4: Simplify right side
    143,098.69x = 11,666,543,287.12
  5. Step 5: Solve for x
    x = 11,666,543,287.12/143,098.69
  6. Step 6: Final answer
    x = 81,527.95

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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.