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Finding the Fourth Proportional to 199,847.37, 299,978.68 and 133,749.39

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Solution

The fourth proportional to 199,847.37, 299,978.68 and 133,749.39 is: 200,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,847.37 : 299,978.68 = 133,749.39 : x
  2. Step 2: Convert to fraction form
    199,847.37/299,978.68 = 133,749.39/x
  3. Step 3: Cross multiply
    199,847.37x = 299,978.68 × 133,749.39
  4. Step 4: Simplify right side
    199,847.37x = 40,121,965,463.01
  5. Step 5: Solve for x
    x = 40,121,965,463.01/199,847.37
  6. Step 6: Final answer
    x = 200,763.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.