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Finding the Fourth Proportional to 199,339.56, 299,009.34 and 136,820.52

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Solution

The fourth proportional to 199,339.56, 299,009.34 and 136,820.52 is: 205,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,339.56 : 299,009.34 = 136,820.52 : x
  2. Step 2: Convert to fraction form
    199,339.56/299,009.34 = 136,820.52/x
  3. Step 3: Cross multiply
    199,339.56x = 299,009.34 × 136,820.52
  4. Step 4: Simplify right side
    199,339.56x = 40,910,613,383.66
  5. Step 5: Solve for x
    x = 40,910,613,383.66/199,339.56
  6. Step 6: Final answer
    x = 205,230.78

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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.