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Finding the Fourth Proportional to 75,098, 112,647 and 19,694

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Solution

The fourth proportional to 75,098, 112,647 and 19,694 is: 29,541

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098 : 112,647 = 19,694 : x
  2. Step 2: Convert to fraction form
    75,098/112,647 = 19,694/x
  3. Step 3: Cross multiply
    75,098x = 112,647 × 19,694
  4. Step 4: Simplify right side
    75,098x = 2,218,470,018
  5. Step 5: Solve for x
    x = 2,218,470,018/75,098
  6. Step 6: Final answer
    x = 29,541

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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.