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Finding the Fourth Proportional to 80,403.89, 120,605.84 and 55,078.43

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Solution

The fourth proportional to 80,403.89, 120,605.84 and 55,078.43 is: 82,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,403.89 : 120,605.84 = 55,078.43 : x
  2. Step 2: Convert to fraction form
    80,403.89/120,605.84 = 55,078.43/x
  3. Step 3: Cross multiply
    80,403.89x = 120,605.84 × 55,078.43
  4. Step 4: Simplify right side
    80,403.89x = 6,642,780,167.65
  5. Step 5: Solve for x
    x = 6,642,780,167.65/80,403.89
  6. Step 6: Final answer
    x = 82,617.65

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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.