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Finding the Fourth Proportional to 83,328, 124,992 and 24,960

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Solution

The fourth proportional to 83,328, 124,992 and 24,960 is: 37,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328 : 124,992 = 24,960 : x
  2. Step 2: Convert to fraction form
    83,328/124,992 = 24,960/x
  3. Step 3: Cross multiply
    83,328x = 124,992 × 24,960
  4. Step 4: Simplify right side
    83,328x = 3,119,800,320
  5. Step 5: Solve for x
    x = 3,119,800,320/83,328
  6. Step 6: Final answer
    x = 37,440

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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.