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Finding the Fourth Proportional to 197,690, 295,791 and 138,640.88

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Solution

The fourth proportional to 197,690, 295,791 and 138,640.88 is: 207,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,690 : 295,791 = 138,640.88 : x
  2. Step 2: Convert to fraction form
    197,690/295,791 = 138,640.88/x
  3. Step 3: Cross multiply
    197,690x = 295,791 × 138,640.88
  4. Step 4: Simplify right side
    197,690x = 41,008,724,536.08
  5. Step 5: Solve for x
    x = 41,008,724,536.08/197,690
  6. Step 6: Final answer
    x = 207,439.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.