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Finding the Fourth Proportional to 199,969.56, 275,965.36 and 109,331.56

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Solution

The fourth proportional to 199,969.56, 275,965.36 and 109,331.56 is: 150,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,969.56 : 275,965.36 = 109,331.56 : x
  2. Step 2: Convert to fraction form
    199,969.56/275,965.36 = 109,331.56/x
  3. Step 3: Cross multiply
    199,969.56x = 275,965.36 × 109,331.56
  4. Step 4: Simplify right side
    199,969.56x = 30,171,723,314.76
  5. Step 5: Solve for x
    x = 30,171,723,314.76/199,969.56
  6. Step 6: Final answer
    x = 150,881.58

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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.