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Finding the Fourth Proportional to 172,141.35, 258,211.51 and 45,781.48

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Solution

The fourth proportional to 172,141.35, 258,211.51 and 45,781.48 is: 68,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,141.35 : 258,211.51 = 45,781.48 : x
  2. Step 2: Convert to fraction form
    172,141.35/258,211.51 = 45,781.48/x
  3. Step 3: Cross multiply
    172,141.35x = 258,211.51 × 45,781.48
  4. Step 4: Simplify right side
    172,141.35x = 11,821,305,289.15
  5. Step 5: Solve for x
    x = 11,821,305,289.15/172,141.35
  6. Step 6: Final answer
    x = 68,672.09

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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.