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Finding the Fourth Proportional to 172,496, 258,744 and 47,837

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Solution

The fourth proportional to 172,496, 258,744 and 47,837 is: 71,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,496 : 258,744 = 47,837 : x
  2. Step 2: Convert to fraction form
    172,496/258,744 = 47,837/x
  3. Step 3: Cross multiply
    172,496x = 258,744 × 47,837
  4. Step 4: Simplify right side
    172,496x = 12,377,536,728
  5. Step 5: Solve for x
    x = 12,377,536,728/172,496
  6. Step 6: Final answer
    x = 71,755.50

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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.