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Finding the Fourth Proportional to 199,103.76, 298,558.32 and 86,878.80

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Solution

The fourth proportional to 199,103.76, 298,558.32 and 86,878.80 is: 130,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,103.76 : 298,558.32 = 86,878.80 : x
  2. Step 2: Convert to fraction form
    199,103.76/298,558.32 = 86,878.80/x
  3. Step 3: Cross multiply
    199,103.76x = 298,558.32 × 86,878.80
  4. Step 4: Simplify right side
    199,103.76x = 25,938,388,571.62
  5. Step 5: Solve for x
    x = 25,938,388,571.62/199,103.76
  6. Step 6: Final answer
    x = 130,275.73

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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.