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Finding the Fourth Proportional to 260,855.86, 391,431.86 and 111,080.53

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Solution

The fourth proportional to 260,855.86, 391,431.86 and 111,080.53 is: 166,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,855.86 : 391,431.86 = 111,080.53 : x
  2. Step 2: Convert to fraction form
    260,855.86/391,431.86 = 111,080.53/x
  3. Step 3: Cross multiply
    260,855.86x = 391,431.86 × 111,080.53
  4. Step 4: Simplify right side
    260,855.86x = 43,480,458,467.69
  5. Step 5: Solve for x
    x = 43,480,458,467.69/260,855.86
  6. Step 6: Final answer
    x = 166,683.85

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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.