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Finding the Fourth Proportional to 50,618, 75,930.78 and 19,453.52

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Solution

The fourth proportional to 50,618, 75,930.78 and 19,453.52 is: 29,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,618 : 75,930.78 = 19,453.52 : x
  2. Step 2: Convert to fraction form
    50,618/75,930.78 = 19,453.52/x
  3. Step 3: Cross multiply
    50,618x = 75,930.78 × 19,453.52
  4. Step 4: Simplify right side
    50,618x = 1,477,120,947.35
  5. Step 5: Solve for x
    x = 1,477,120,947.35/50,618
  6. Step 6: Final answer
    x = 29,181.73

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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.