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Finding the Fourth Proportional to 199,189.44, 298,868.16 and 80,830.08

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Solution

The fourth proportional to 199,189.44, 298,868.16 and 80,830.08 is: 121,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,189.44 : 298,868.16 = 80,830.08 : x
  2. Step 2: Convert to fraction form
    199,189.44/298,868.16 = 80,830.08/x
  3. Step 3: Cross multiply
    199,189.44x = 298,868.16 × 80,830.08
  4. Step 4: Simplify right side
    199,189.44x = 24,157,537,282.25
  5. Step 5: Solve for x
    x = 24,157,537,282.25/199,189.44
  6. Step 6: Final answer
    x = 121,279.21

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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.