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Finding the Fourth Proportional to 75,574, 113,361 and 20,170

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Solution

The fourth proportional to 75,574, 113,361 and 20,170 is: 30,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,574 : 113,361 = 20,170 : x
  2. Step 2: Convert to fraction form
    75,574/113,361 = 20,170/x
  3. Step 3: Cross multiply
    75,574x = 113,361 × 20,170
  4. Step 4: Simplify right side
    75,574x = 2,286,491,370
  5. Step 5: Solve for x
    x = 2,286,491,370/75,574
  6. Step 6: Final answer
    x = 30,255

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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.