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Finding the Fourth Proportional to 80,466.90, 120,661.38 and 47,197.86

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Solution

The fourth proportional to 80,466.90, 120,661.38 and 47,197.86 is: 70,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,466.90 : 120,661.38 = 47,197.86 : x
  2. Step 2: Convert to fraction form
    80,466.90/120,661.38 = 47,197.86/x
  3. Step 3: Cross multiply
    80,466.90x = 120,661.38 × 47,197.86
  4. Step 4: Simplify right side
    80,466.90x = 5,694,958,920.65
  5. Step 5: Solve for x
    x = 5,694,958,920.65/80,466.90
  6. Step 6: Final answer
    x = 70,773.93

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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.