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Finding the Fourth Proportional to 172,083.72, 258,098.94 and 87,906.12

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Solution

The fourth proportional to 172,083.72, 258,098.94 and 87,906.12 is: 131,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,083.72 : 258,098.94 = 87,906.12 : x
  2. Step 2: Convert to fraction form
    172,083.72/258,098.94 = 87,906.12/x
  3. Step 3: Cross multiply
    172,083.72x = 258,098.94 × 87,906.12
  4. Step 4: Simplify right side
    172,083.72x = 22,688,476,391.51
  5. Step 5: Solve for x
    x = 22,688,476,391.51/172,083.72
  6. Step 6: Final answer
    x = 131,845.57

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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.