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Finding the Fourth Proportional to 172,070.20, 258,105.30 and 136,640.80

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Solution

The fourth proportional to 172,070.20, 258,105.30 and 136,640.80 is: 204,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,070.20 : 258,105.30 = 136,640.80 : x
  2. Step 2: Convert to fraction form
    172,070.20/258,105.30 = 136,640.80/x
  3. Step 3: Cross multiply
    172,070.20x = 258,105.30 × 136,640.80
  4. Step 4: Simplify right side
    172,070.20x = 35,267,714,676.24
  5. Step 5: Solve for x
    x = 35,267,714,676.24/172,070.20
  6. Step 6: Final answer
    x = 204,961.20

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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.