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Finding the Fourth Proportional to 199,219.78, 274,915.29 and 108,573.80

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Solution

The fourth proportional to 199,219.78, 274,915.29 and 108,573.80 is: 149,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,219.78 : 274,915.29 = 108,573.80 : x
  2. Step 2: Convert to fraction form
    199,219.78/274,915.29 = 108,573.80/x
  3. Step 3: Cross multiply
    199,219.78x = 274,915.29 × 108,573.80
  4. Step 4: Simplify right side
    199,219.78x = 29,848,597,407.11
  5. Step 5: Solve for x
    x = 29,848,597,407.11/199,219.78
  6. Step 6: Final answer
    x = 149,827.48

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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.