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Finding the Fourth Proportional to 198,807.78, 274,351.73 and 108,161.68

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Solution

The fourth proportional to 198,807.78, 274,351.73 and 108,161.68 is: 149,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,807.78 : 274,351.73 = 108,161.68 : x
  2. Step 2: Convert to fraction form
    198,807.78/274,351.73 = 108,161.68/x
  3. Step 3: Cross multiply
    198,807.78x = 274,351.73 × 108,161.68
  4. Step 4: Simplify right side
    198,807.78x = 29,674,343,315.43
  5. Step 5: Solve for x
    x = 29,674,343,315.43/198,807.78
  6. Step 6: Final answer
    x = 149,261.48

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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.