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Finding the Fourth Proportional to 172,498, 258,747 and 47,839

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Solution

The fourth proportional to 172,498, 258,747 and 47,839 is: 71,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,498 : 258,747 = 47,839 : x
  2. Step 2: Convert to fraction form
    172,498/258,747 = 47,839/x
  3. Step 3: Cross multiply
    172,498x = 258,747 × 47,839
  4. Step 4: Simplify right side
    172,498x = 12,378,197,733
  5. Step 5: Solve for x
    x = 12,378,197,733/172,498
  6. Step 6: Final answer
    x = 71,758.50

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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.