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Finding the Fourth Proportional to 83,920, 125,880 and 25,552

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Solution

The fourth proportional to 83,920, 125,880 and 25,552 is: 38,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920 : 125,880 = 25,552 : x
  2. Step 2: Convert to fraction form
    83,920/125,880 = 25,552/x
  3. Step 3: Cross multiply
    83,920x = 125,880 × 25,552
  4. Step 4: Simplify right side
    83,920x = 3,216,485,760
  5. Step 5: Solve for x
    x = 3,216,485,760/83,920
  6. Step 6: Final answer
    x = 38,328

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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.