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Finding the Fourth Proportional to 199,006.64, 298,197.30 and 138,975.92

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Solution

The fourth proportional to 199,006.64, 298,197.30 and 138,975.92 is: 208,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,006.64 : 298,197.30 = 138,975.92 : x
  2. Step 2: Convert to fraction form
    199,006.64/298,197.30 = 138,975.92/x
  3. Step 3: Cross multiply
    199,006.64x = 298,197.30 × 138,975.92
  4. Step 4: Simplify right side
    199,006.64x = 41,442,244,109.02
  5. Step 5: Solve for x
    x = 41,442,244,109.02/199,006.64
  6. Step 6: Final answer
    x = 208,245.53

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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.