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Finding the Fourth Proportional to 83,776, 125,664 and 25,408

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Solution

The fourth proportional to 83,776, 125,664 and 25,408 is: 38,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,776 : 125,664 = 25,408 : x
  2. Step 2: Convert to fraction form
    83,776/125,664 = 25,408/x
  3. Step 3: Cross multiply
    83,776x = 125,664 × 25,408
  4. Step 4: Simplify right side
    83,776x = 3,192,870,912
  5. Step 5: Solve for x
    x = 3,192,870,912/83,776
  6. Step 6: Final answer
    x = 38,112

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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.