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Finding the Fourth Proportional to 70,982.33, 106,476.22 and 18,390.44

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Solution

The fourth proportional to 70,982.33, 106,476.22 and 18,390.44 is: 27,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.33 : 106,476.22 = 18,390.44 : x
  2. Step 2: Convert to fraction form
    70,982.33/106,476.22 = 18,390.44/x
  3. Step 3: Cross multiply
    70,982.33x = 106,476.22 × 18,390.44
  4. Step 4: Simplify right side
    70,982.33x = 1,958,144,824.52
  5. Step 5: Solve for x
    x = 1,958,144,824.52/70,982.33
  6. Step 6: Final answer
    x = 27,586.37

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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.