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Finding the Fourth Proportional to 49,467.60, 74,201.40 and 21,819.60

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Solution

The fourth proportional to 49,467.60, 74,201.40 and 21,819.60 is: 32,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,467.60 : 74,201.40 = 21,819.60 : x
  2. Step 2: Convert to fraction form
    49,467.60/74,201.40 = 21,819.60/x
  3. Step 3: Cross multiply
    49,467.60x = 74,201.40 × 21,819.60
  4. Step 4: Simplify right side
    49,467.60x = 1,619,044,867.44
  5. Step 5: Solve for x
    x = 1,619,044,867.44/49,467.60
  6. Step 6: Final answer
    x = 32,729.40

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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.