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Finding the Fourth Proportional to 68,498, 102,747 and 19,250

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Solution

The fourth proportional to 68,498, 102,747 and 19,250 is: 28,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498 : 102,747 = 19,250 : x
  2. Step 2: Convert to fraction form
    68,498/102,747 = 19,250/x
  3. Step 3: Cross multiply
    68,498x = 102,747 × 19,250
  4. Step 4: Simplify right side
    68,498x = 1,977,879,750
  5. Step 5: Solve for x
    x = 1,977,879,750/68,498
  6. Step 6: Final answer
    x = 28,875

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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.