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Finding the Fourth Proportional to 81,424.62, 122,145.03 and 25,262.46

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Solution

The fourth proportional to 81,424.62, 122,145.03 and 25,262.46 is: 37,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,424.62 : 122,145.03 = 25,262.46 : x
  2. Step 2: Convert to fraction form
    81,424.62/122,145.03 = 25,262.46/x
  3. Step 3: Cross multiply
    81,424.62x = 122,145.03 × 25,262.46
  4. Step 4: Simplify right side
    81,424.62x = 3,085,683,934.57
  5. Step 5: Solve for x
    x = 3,085,683,934.57/81,424.62
  6. Step 6: Final answer
    x = 37,896.20

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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.