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Finding the Fourth Proportional to 172,502, 258,753 and 47,843

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Solution

The fourth proportional to 172,502, 258,753 and 47,843 is: 71,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,502 : 258,753 = 47,843 : x
  2. Step 2: Convert to fraction form
    172,502/258,753 = 47,843/x
  3. Step 3: Cross multiply
    172,502x = 258,753 × 47,843
  4. Step 4: Simplify right side
    172,502x = 12,379,519,779
  5. Step 5: Solve for x
    x = 12,379,519,779/172,502
  6. Step 6: Final answer
    x = 71,764.50

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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.