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Finding the Fourth Proportional to 81,808.25, 122,712.14 and 25,648.59

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Solution

The fourth proportional to 81,808.25, 122,712.14 and 25,648.59 is: 38,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.25 : 122,712.14 = 25,648.59 : x
  2. Step 2: Convert to fraction form
    81,808.25/122,712.14 = 25,648.59/x
  3. Step 3: Cross multiply
    81,808.25x = 122,712.14 × 25,648.59
  4. Step 4: Simplify right side
    81,808.25x = 3,147,393,238.64
  5. Step 5: Solve for x
    x = 3,147,393,238.64/81,808.25
  6. Step 6: Final answer
    x = 38,472.81

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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.