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Finding the Fourth Proportional to 81,643.73, 122,470.15 and 25,491.59

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Solution

The fourth proportional to 81,643.73, 122,470.15 and 25,491.59 is: 38,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643.73 : 122,470.15 = 25,491.59 : x
  2. Step 2: Convert to fraction form
    81,643.73/122,470.15 = 25,491.59/x
  3. Step 3: Cross multiply
    81,643.73x = 122,470.15 × 25,491.59
  4. Step 4: Simplify right side
    81,643.73x = 3,121,958,174.96
  5. Step 5: Solve for x
    x = 3,121,958,174.96/81,643.73
  6. Step 6: Final answer
    x = 38,238.80

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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.