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Finding the Fourth Proportional to 199,162.86, 298,799.73 and 86,853.03

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Solution

The fourth proportional to 199,162.86, 298,799.73 and 86,853.03 is: 130,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,162.86 : 298,799.73 = 86,853.03 : x
  2. Step 2: Convert to fraction form
    199,162.86/298,799.73 = 86,853.03/x
  3. Step 3: Cross multiply
    199,162.86x = 298,799.73 × 86,853.03
  4. Step 4: Simplify right side
    199,162.86x = 25,951,661,913.68
  5. Step 5: Solve for x
    x = 25,951,661,913.68/199,162.86
  6. Step 6: Final answer
    x = 130,303.72

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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.