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Finding the Fourth Proportional to 146,920.26, 220,380.33 and 67,991.43

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Solution

The fourth proportional to 146,920.26, 220,380.33 and 67,991.43 is: 101,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,920.26 : 220,380.33 = 67,991.43 : x
  2. Step 2: Convert to fraction form
    146,920.26/220,380.33 = 67,991.43/x
  3. Step 3: Cross multiply
    146,920.26x = 220,380.33 × 67,991.43
  4. Step 4: Simplify right side
    146,920.26x = 14,983,973,780.57
  5. Step 5: Solve for x
    x = 14,983,973,780.57/146,920.26
  6. Step 6: Final answer
    x = 101,987.12

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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.