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Finding the Fourth Proportional to 197,982, 273,228.20 and 108,558

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Solution

The fourth proportional to 197,982, 273,228.20 and 108,558 is: 149,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,982 : 273,228.20 = 108,558 : x
  2. Step 2: Convert to fraction form
    197,982/273,228.20 = 108,558/x
  3. Step 3: Cross multiply
    197,982x = 273,228.20 × 108,558
  4. Step 4: Simplify right side
    197,982x = 29,661,106,935.60
  5. Step 5: Solve for x
    x = 29,661,106,935.60/197,982
  6. Step 6: Final answer
    x = 149,817.19

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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.