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Finding the Fourth Proportional to 199,308.69, 298,864.47 and 86,940.33

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Solution

The fourth proportional to 199,308.69, 298,864.47 and 86,940.33 is: 130,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,308.69 : 298,864.47 = 86,940.33 : x
  2. Step 2: Convert to fraction form
    199,308.69/298,864.47 = 86,940.33/x
  3. Step 3: Cross multiply
    199,308.69x = 298,864.47 × 86,940.33
  4. Step 4: Simplify right side
    199,308.69x = 25,983,375,647.08
  5. Step 5: Solve for x
    x = 25,983,375,647.08/199,308.69
  6. Step 6: Final answer
    x = 130,367.50

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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.