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Finding the Fourth Proportional to 50,773.20, 76,138.20 and 21,181.20

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Solution

The fourth proportional to 50,773.20, 76,138.20 and 21,181.20 is: 31,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,773.20 : 76,138.20 = 21,181.20 : x
  2. Step 2: Convert to fraction form
    50,773.20/76,138.20 = 21,181.20/x
  3. Step 3: Cross multiply
    50,773.20x = 76,138.20 × 21,181.20
  4. Step 4: Simplify right side
    50,773.20x = 1,612,698,441.84
  5. Step 5: Solve for x
    x = 1,612,698,441.84/50,773.20
  6. Step 6: Final answer
    x = 31,762.79

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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.