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Finding the Fourth Proportional to 192,288, 288,432 and 60,960

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Solution

The fourth proportional to 192,288, 288,432 and 60,960 is: 91,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,288 : 288,432 = 60,960 : x
  2. Step 2: Convert to fraction form
    192,288/288,432 = 60,960/x
  3. Step 3: Cross multiply
    192,288x = 288,432 × 60,960
  4. Step 4: Simplify right side
    192,288x = 17,582,814,720
  5. Step 5: Solve for x
    x = 17,582,814,720/192,288
  6. Step 6: Final answer
    x = 91,440

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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.