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Finding the Fourth Proportional to 199,833.57, 275,954.50 and 128,338.15

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Solution

The fourth proportional to 199,833.57, 275,954.50 and 128,338.15 is: 177,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,833.57 : 275,954.50 = 128,338.15 : x
  2. Step 2: Convert to fraction form
    199,833.57/275,954.50 = 128,338.15/x
  3. Step 3: Cross multiply
    199,833.57x = 275,954.50 × 128,338.15
  4. Step 4: Simplify right side
    199,833.57x = 35,415,491,062.52
  5. Step 5: Solve for x
    x = 35,415,491,062.52/199,833.57
  6. Step 6: Final answer
    x = 177,224.93

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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.