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Finding the Fourth Proportional to 197,720, 296,581.44 and 49,976

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Solution

The fourth proportional to 197,720, 296,581.44 and 49,976 is: 74,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,720 : 296,581.44 = 49,976 : x
  2. Step 2: Convert to fraction form
    197,720/296,581.44 = 49,976/x
  3. Step 3: Cross multiply
    197,720x = 296,581.44 × 49,976
  4. Step 4: Simplify right side
    197,720x = 14,821,954,045.44
  5. Step 5: Solve for x
    x = 14,821,954,045.44/197,720
  6. Step 6: Final answer
    x = 74,964.36

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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.