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Finding the Fourth Proportional to 172,997.80, 259,448.10 and 54,705.40

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Solution

The fourth proportional to 172,997.80, 259,448.10 and 54,705.40 is: 82,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,997.80 : 259,448.10 = 54,705.40 : x
  2. Step 2: Convert to fraction form
    172,997.80/259,448.10 = 54,705.40/x
  3. Step 3: Cross multiply
    172,997.80x = 259,448.10 × 54,705.40
  4. Step 4: Simplify right side
    172,997.80x = 14,193,212,089.74
  5. Step 5: Solve for x
    x = 14,193,212,089.74/172,997.80
  6. Step 6: Final answer
    x = 82,042.73

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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.