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Finding the Fourth Proportional to 199,645.49, 298,990.82 and 115,149.50

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Solution

The fourth proportional to 199,645.49, 298,990.82 and 115,149.50 is: 172,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,645.49 : 298,990.82 = 115,149.50 : x
  2. Step 2: Convert to fraction form
    199,645.49/298,990.82 = 115,149.50/x
  3. Step 3: Cross multiply
    199,645.49x = 298,990.82 × 115,149.50
  4. Step 4: Simplify right side
    199,645.49x = 34,428,644,462.94
  5. Step 5: Solve for x
    x = 34,428,644,462.94/199,645.49
  6. Step 6: Final answer
    x = 172,448.89

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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.