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Finding the Fourth Proportional to 198,723, 274,242.06 and 109,299

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Solution

The fourth proportional to 198,723, 274,242.06 and 109,299 is: 150,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,723 : 274,242.06 = 109,299 : x
  2. Step 2: Convert to fraction form
    198,723/274,242.06 = 109,299/x
  3. Step 3: Cross multiply
    198,723x = 274,242.06 × 109,299
  4. Step 4: Simplify right side
    198,723x = 29,974,382,915.94
  5. Step 5: Solve for x
    x = 29,974,382,915.94/198,723
  6. Step 6: Final answer
    x = 150,835.00

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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.