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Finding the Fourth Proportional to 172,894.26, 259,372.57 and 78,169.03

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Solution

The fourth proportional to 172,894.26, 259,372.57 and 78,169.03 is: 117,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,894.26 : 259,372.57 = 78,169.03 : x
  2. Step 2: Convert to fraction form
    172,894.26/259,372.57 = 78,169.03/x
  3. Step 3: Cross multiply
    172,894.26x = 259,372.57 × 78,169.03
  4. Step 4: Simplify right side
    172,894.26x = 20,274,901,361.65
  5. Step 5: Solve for x
    x = 20,274,901,361.65/172,894.26
  6. Step 6: Final answer
    x = 117,267.64

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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.