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Finding the Fourth Proportional to 197,864, 273,052.32 and 108,440

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Solution

The fourth proportional to 197,864, 273,052.32 and 108,440 is: 149,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,864 : 273,052.32 = 108,440 : x
  2. Step 2: Convert to fraction form
    197,864/273,052.32 = 108,440/x
  3. Step 3: Cross multiply
    197,864x = 273,052.32 × 108,440
  4. Step 4: Simplify right side
    197,864x = 29,609,793,580.80
  5. Step 5: Solve for x
    x = 29,609,793,580.80/197,864
  6. Step 6: Final answer
    x = 149,647.20

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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.