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Finding the Fourth Proportional to 70,687.44, 106,029.68 and 20,766.33

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Solution

The fourth proportional to 70,687.44, 106,029.68 and 20,766.33 is: 31,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,687.44 : 106,029.68 = 20,766.33 : x
  2. Step 2: Convert to fraction form
    70,687.44/106,029.68 = 20,766.33/x
  3. Step 3: Cross multiply
    70,687.44x = 106,029.68 × 20,766.33
  4. Step 4: Simplify right side
    70,687.44x = 2,201,847,220.84
  5. Step 5: Solve for x
    x = 2,201,847,220.84/70,687.44
  6. Step 6: Final answer
    x = 31,149.06

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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.