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Finding the Fourth Proportional to 192,140.84, 288,212.11 and 79,820.97

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Solution

The fourth proportional to 192,140.84, 288,212.11 and 79,820.97 is: 119,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,140.84 : 288,212.11 = 79,820.97 : x
  2. Step 2: Convert to fraction form
    192,140.84/288,212.11 = 79,820.97/x
  3. Step 3: Cross multiply
    192,140.84x = 288,212.11 × 79,820.97
  4. Step 4: Simplify right side
    192,140.84x = 23,005,370,185.95
  5. Step 5: Solve for x
    x = 23,005,370,185.95/192,140.84
  6. Step 6: Final answer
    x = 119,731.81

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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.