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Finding the Fourth Proportional to 199,989.76, 275,986.36 and 109,351.56

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Solution

The fourth proportional to 199,989.76, 275,986.36 and 109,351.56 is: 150,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,989.76 : 275,986.36 = 109,351.56 : x
  2. Step 2: Convert to fraction form
    199,989.76/275,986.36 = 109,351.56/x
  3. Step 3: Cross multiply
    199,989.76x = 275,986.36 × 109,351.56
  4. Step 4: Simplify right side
    199,989.76x = 30,179,539,004.72
  5. Step 5: Solve for x
    x = 30,179,539,004.72/199,989.76
  6. Step 6: Final answer
    x = 150,905.42

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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.