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Finding the Fourth Proportional to 75,824, 113,736 and 20,420

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Solution

The fourth proportional to 75,824, 113,736 and 20,420 is: 30,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824 : 113,736 = 20,420 : x
  2. Step 2: Convert to fraction form
    75,824/113,736 = 20,420/x
  3. Step 3: Cross multiply
    75,824x = 113,736 × 20,420
  4. Step 4: Simplify right side
    75,824x = 2,322,489,120
  5. Step 5: Solve for x
    x = 2,322,489,120/75,824
  6. Step 6: Final answer
    x = 30,630

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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.