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Finding the Fourth Proportional to 199,920.69, 275,896.94 and 109,274.67

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Solution

The fourth proportional to 199,920.69, 275,896.94 and 109,274.67 is: 150,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,920.69 : 275,896.94 = 109,274.67 : x
  2. Step 2: Convert to fraction form
    199,920.69/275,896.94 = 109,274.67/x
  3. Step 3: Cross multiply
    199,920.69x = 275,896.94 × 109,274.67
  4. Step 4: Simplify right side
    199,920.69x = 30,148,546,526.14
  5. Step 5: Solve for x
    x = 30,148,546,526.14/199,920.69
  6. Step 6: Final answer
    x = 150,802.53

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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.