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Finding the Fourth Proportional to 172,508, 258,762 and 47,849

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Solution

The fourth proportional to 172,508, 258,762 and 47,849 is: 71,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,508 : 258,762 = 47,849 : x
  2. Step 2: Convert to fraction form
    172,508/258,762 = 47,849/x
  3. Step 3: Cross multiply
    172,508x = 258,762 × 47,849
  4. Step 4: Simplify right side
    172,508x = 12,381,502,938
  5. Step 5: Solve for x
    x = 12,381,502,938/172,508
  6. Step 6: Final answer
    x = 71,773.50

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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.