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Finding the Fourth Proportional to 192,134.82, 288,198.56 and 112,724.84

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Solution

The fourth proportional to 192,134.82, 288,198.56 and 112,724.84 is: 169,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,134.82 : 288,198.56 = 112,724.84 : x
  2. Step 2: Convert to fraction form
    192,134.82/288,198.56 = 112,724.84/x
  3. Step 3: Cross multiply
    192,134.82x = 288,198.56 × 112,724.84
  4. Step 4: Simplify right side
    192,134.82x = 32,487,136,564.23
  5. Step 5: Solve for x
    x = 32,487,136,564.23/192,134.82
  6. Step 6: Final answer
    x = 169,085.11

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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.