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Finding the Fourth Proportional to 172,209.60, 257,853.60 and 109,540.80

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Solution

The fourth proportional to 172,209.60, 257,853.60 and 109,540.80 is: 164,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,209.60 : 257,853.60 = 109,540.80 : x
  2. Step 2: Convert to fraction form
    172,209.60/257,853.60 = 109,540.80/x
  3. Step 3: Cross multiply
    172,209.60x = 257,853.60 × 109,540.80
  4. Step 4: Simplify right side
    172,209.60x = 28,245,489,626.88
  5. Step 5: Solve for x
    x = 28,245,489,626.88/172,209.60
  6. Step 6: Final answer
    x = 164,018.09

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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.