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Finding the Fourth Proportional to 49,679.60, 74,493.80 and 18,498.80

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Solution

The fourth proportional to 49,679.60, 74,493.80 and 18,498.80 is: 27,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,679.60 : 74,493.80 = 18,498.80 : x
  2. Step 2: Convert to fraction form
    49,679.60/74,493.80 = 18,498.80/x
  3. Step 3: Cross multiply
    49,679.60x = 74,493.80 × 18,498.80
  4. Step 4: Simplify right side
    49,679.60x = 1,378,045,907.44
  5. Step 5: Solve for x
    x = 1,378,045,907.44/49,679.60
  6. Step 6: Final answer
    x = 27,738.67

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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.