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Finding the Fourth Proportional to 192,890, 289,491.96 and 99,422.48

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Solution

The fourth proportional to 192,890, 289,491.96 and 99,422.48 is: 149,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,890 : 289,491.96 = 99,422.48 : x
  2. Step 2: Convert to fraction form
    192,890/289,491.96 = 99,422.48/x
  3. Step 3: Cross multiply
    192,890x = 289,491.96 × 99,422.48
  4. Step 4: Simplify right side
    192,890x = 28,782,008,603.26
  5. Step 5: Solve for x
    x = 28,782,008,603.26/192,890
  6. Step 6: Final answer
    x = 149,214.62

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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.