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Finding the Fourth Proportional to 199,611.40, 298,979.70 and 106,007.80

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Solution

The fourth proportional to 199,611.40, 298,979.70 and 106,007.80 is: 158,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611.40 : 298,979.70 = 106,007.80 : x
  2. Step 2: Convert to fraction form
    199,611.40/298,979.70 = 106,007.80/x
  3. Step 3: Cross multiply
    199,611.40x = 298,979.70 × 106,007.80
  4. Step 4: Simplify right side
    199,611.40x = 31,694,180,241.66
  5. Step 5: Solve for x
    x = 31,694,180,241.66/199,611.40
  6. Step 6: Final answer
    x = 158,779.41

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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.