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Finding the Fourth Proportional to 199,928.70, 275,893.56 and 109,287.90

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Solution

The fourth proportional to 199,928.70, 275,893.56 and 109,287.90 is: 150,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,928.70 : 275,893.56 = 109,287.90 : x
  2. Step 2: Convert to fraction form
    199,928.70/275,893.56 = 109,287.90/x
  3. Step 3: Cross multiply
    199,928.70x = 275,893.56 × 109,287.90
  4. Step 4: Simplify right side
    199,928.70x = 30,151,827,795.92
  5. Step 5: Solve for x
    x = 30,151,827,795.92/199,928.70
  6. Step 6: Final answer
    x = 150,812.90

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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.