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Finding the Fourth Proportional to 127,876, 191,814 and 40,324

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Solution

The fourth proportional to 127,876, 191,814 and 40,324 is: 60,486

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,876 : 191,814 = 40,324 : x
  2. Step 2: Convert to fraction form
    127,876/191,814 = 40,324/x
  3. Step 3: Cross multiply
    127,876x = 191,814 × 40,324
  4. Step 4: Simplify right side
    127,876x = 7,734,707,736
  5. Step 5: Solve for x
    x = 7,734,707,736/127,876
  6. Step 6: Final answer
    x = 60,486

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.