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Finding the Fourth Proportional to 121,460, 182,190 and 38,354

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Solution

The fourth proportional to 121,460, 182,190 and 38,354 is: 57,531

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,460 : 182,190 = 38,354 : x
  2. Step 2: Convert to fraction form
    121,460/182,190 = 38,354/x
  3. Step 3: Cross multiply
    121,460x = 182,190 × 38,354
  4. Step 4: Simplify right side
    121,460x = 6,987,715,260
  5. Step 5: Solve for x
    x = 6,987,715,260/121,460
  6. Step 6: Final answer
    x = 57,531

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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.