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Finding the Fourth Proportional to 199,078.60, 298,704.30 and 100,582.60

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Solution

The fourth proportional to 199,078.60, 298,704.30 and 100,582.60 is: 150,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,078.60 : 298,704.30 = 100,582.60 : x
  2. Step 2: Convert to fraction form
    199,078.60/298,704.30 = 100,582.60/x
  3. Step 3: Cross multiply
    199,078.60x = 298,704.30 × 100,582.60
  4. Step 4: Simplify right side
    199,078.60x = 30,044,455,125.18
  5. Step 5: Solve for x
    x = 30,044,455,125.18/199,078.60
  6. Step 6: Final answer
    x = 150,917.55

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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.