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Finding the Fourth Proportional to 199,006.82, 298,509.55 and 80,677.88

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Solution

The fourth proportional to 199,006.82, 298,509.55 and 80,677.88 is: 121,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,006.82 : 298,509.55 = 80,677.88 : x
  2. Step 2: Convert to fraction form
    199,006.82/298,509.55 = 80,677.88/x
  3. Step 3: Cross multiply
    199,006.82x = 298,509.55 × 80,677.88
  4. Step 4: Simplify right side
    199,006.82x = 24,083,115,959.51
  5. Step 5: Solve for x
    x = 24,083,115,959.51/199,006.82
  6. Step 6: Final answer
    x = 121,016.54

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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.