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Finding the Fourth Proportional to 121,450, 182,175 and 38,344

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Solution

The fourth proportional to 121,450, 182,175 and 38,344 is: 57,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,450 : 182,175 = 38,344 : x
  2. Step 2: Convert to fraction form
    121,450/182,175 = 38,344/x
  3. Step 3: Cross multiply
    121,450x = 182,175 × 38,344
  4. Step 4: Simplify right side
    121,450x = 6,985,318,200
  5. Step 5: Solve for x
    x = 6,985,318,200/121,450
  6. Step 6: Final answer
    x = 57,516

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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.