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Finding the Fourth Proportional to 51,678, 77,517.60 and 16,617.60

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Solution

The fourth proportional to 51,678, 77,517.60 and 16,617.60 is: 24,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678 : 77,517.60 = 16,617.60 : x
  2. Step 2: Convert to fraction form
    51,678/77,517.60 = 16,617.60/x
  3. Step 3: Cross multiply
    51,678x = 77,517.60 × 16,617.60
  4. Step 4: Simplify right side
    51,678x = 1,288,156,469.76
  5. Step 5: Solve for x
    x = 1,288,156,469.76/51,678
  6. Step 6: Final answer
    x = 24,926.59

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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.