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Finding the Fourth Proportional to 51,328, 76,992 and 12,416

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Solution

The fourth proportional to 51,328, 76,992 and 12,416 is: 18,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328 : 76,992 = 12,416 : x
  2. Step 2: Convert to fraction form
    51,328/76,992 = 12,416/x
  3. Step 3: Cross multiply
    51,328x = 76,992 × 12,416
  4. Step 4: Simplify right side
    51,328x = 955,932,672
  5. Step 5: Solve for x
    x = 955,932,672/51,328
  6. Step 6: Final answer
    x = 18,624

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.