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Finding the Fourth Proportional to 198,396, 273,804.84 and 108,989.28

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Solution

The fourth proportional to 198,396, 273,804.84 and 108,989.28 is: 150,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,396 : 273,804.84 = 108,989.28 : x
  2. Step 2: Convert to fraction form
    198,396/273,804.84 = 108,989.28/x
  3. Step 3: Cross multiply
    198,396x = 273,804.84 × 108,989.28
  4. Step 4: Simplify right side
    198,396x = 29,841,792,372.12
  5. Step 5: Solve for x
    x = 29,841,792,372.12/198,396
  6. Step 6: Final answer
    x = 150,415.29

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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.