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Finding the Fourth Proportional to 70,822.26, 106,221.51 and 20,901.42

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Solution

The fourth proportional to 70,822.26, 106,221.51 and 20,901.42 is: 31,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.26 : 106,221.51 = 20,901.42 : x
  2. Step 2: Convert to fraction form
    70,822.26/106,221.51 = 20,901.42/x
  3. Step 3: Cross multiply
    70,822.26x = 106,221.51 × 20,901.42
  4. Step 4: Simplify right side
    70,822.26x = 2,220,180,393.54
  5. Step 5: Solve for x
    x = 2,220,180,393.54/70,822.26
  6. Step 6: Final answer
    x = 31,348.62

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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.