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Finding the Fourth Proportional to 70,909.92, 106,370.34 and 20,989.21

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Solution

The fourth proportional to 70,909.92, 106,370.34 and 20,989.21 is: 31,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,909.92 : 106,370.34 = 20,989.21 : x
  2. Step 2: Convert to fraction form
    70,909.92/106,370.34 = 20,989.21/x
  3. Step 3: Cross multiply
    70,909.92x = 106,370.34 × 20,989.21
  4. Step 4: Simplify right side
    70,909.92x = 2,232,629,404.03
  5. Step 5: Solve for x
    x = 2,232,629,404.03/70,909.92
  6. Step 6: Final answer
    x = 31,485.43

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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.