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Finding the Fourth Proportional to 199,674.21, 275,561.60 and 109,038.63

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Solution

The fourth proportional to 199,674.21, 275,561.60 and 109,038.63 is: 150,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,674.21 : 275,561.60 = 109,038.63 : x
  2. Step 2: Convert to fraction form
    199,674.21/275,561.60 = 109,038.63/x
  3. Step 3: Cross multiply
    199,674.21x = 275,561.60 × 109,038.63
  4. Step 4: Simplify right side
    199,674.21x = 30,046,858,799.41
  5. Step 5: Solve for x
    x = 30,046,858,799.41/199,674.21
  6. Step 6: Final answer
    x = 150,479.42

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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.