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Finding the Fourth Proportional to 198,608.40, 274,084.92 and 107,970.44

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Solution

The fourth proportional to 198,608.40, 274,084.92 and 107,970.44 is: 149,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,608.40 : 274,084.92 = 107,970.44 : x
  2. Step 2: Convert to fraction form
    198,608.40/274,084.92 = 107,970.44/x
  3. Step 3: Cross multiply
    198,608.40x = 274,084.92 × 107,970.44
  4. Step 4: Simplify right side
    198,608.40x = 29,593,069,409.76
  5. Step 5: Solve for x
    x = 29,593,069,409.76/198,608.40
  6. Step 6: Final answer
    x = 149,002.10

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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.