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Finding the Fourth Proportional to 199,061.85, 298,590.92 and 80,705.05

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Solution

The fourth proportional to 199,061.85, 298,590.92 and 80,705.05 is: 121,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,061.85 : 298,590.92 = 80,705.05 : x
  2. Step 2: Convert to fraction form
    199,061.85/298,590.92 = 80,705.05/x
  3. Step 3: Cross multiply
    199,061.85x = 298,590.92 × 80,705.05
  4. Step 4: Simplify right side
    199,061.85x = 24,097,794,724.62
  5. Step 5: Solve for x
    x = 24,097,794,724.62/199,061.85
  6. Step 6: Final answer
    x = 121,056.82

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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.