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Finding the Fourth Proportional to 80,304.75, 120,370.14 and 35,870.31

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Solution

The fourth proportional to 80,304.75, 120,370.14 and 35,870.31 is: 53,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304.75 : 120,370.14 = 35,870.31 : x
  2. Step 2: Convert to fraction form
    80,304.75/120,370.14 = 35,870.31/x
  3. Step 3: Cross multiply
    80,304.75x = 120,370.14 × 35,870.31
  4. Step 4: Simplify right side
    80,304.75x = 4,317,714,236.54
  5. Step 5: Solve for x
    x = 4,317,714,236.54/80,304.75
  6. Step 6: Final answer
    x = 53,766.61

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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.