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Finding the Fourth Proportional to 199,085.78, 274,738.32 and 109,661.78

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Solution

The fourth proportional to 199,085.78, 274,738.32 and 109,661.78 is: 151,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,085.78 : 274,738.32 = 109,661.78 : x
  2. Step 2: Convert to fraction form
    199,085.78/274,738.32 = 109,661.78/x
  3. Step 3: Cross multiply
    199,085.78x = 274,738.32 × 109,661.78
  4. Step 4: Simplify right side
    199,085.78x = 30,128,293,205.41
  5. Step 5: Solve for x
    x = 30,128,293,205.41/199,085.78
  6. Step 6: Final answer
    x = 151,333.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.