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Finding the Fourth Proportional to 168,172.26, 252,319.91 and 78,257.87

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Solution

The fourth proportional to 168,172.26, 252,319.91 and 78,257.87 is: 117,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,172.26 : 252,319.91 = 78,257.87 : x
  2. Step 2: Convert to fraction form
    168,172.26/252,319.91 = 78,257.87/x
  3. Step 3: Cross multiply
    168,172.26x = 252,319.91 × 78,257.87
  4. Step 4: Simplify right side
    168,172.26x = 19,746,017,062.30
  5. Step 5: Solve for x
    x = 19,746,017,062.30/168,172.26
  6. Step 6: Final answer
    x = 117,415.42

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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.