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Finding the Fourth Proportional to 199,984.22, 275,978.72 and 109,346.03

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Solution

The fourth proportional to 199,984.22, 275,978.72 and 109,346.03 is: 150,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,984.22 : 275,978.72 = 109,346.03 : x
  2. Step 2: Convert to fraction form
    199,984.22/275,978.72 = 109,346.03/x
  3. Step 3: Cross multiply
    199,984.22x = 275,978.72 × 109,346.03
  4. Step 4: Simplify right side
    199,984.22x = 30,177,177,539.70
  5. Step 5: Solve for x
    x = 30,177,177,539.70/199,984.22
  6. Step 6: Final answer
    x = 150,897.80

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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.