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Finding the Fourth Proportional to 199,020.40, 298,524.20 and 65,906.80

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Solution

The fourth proportional to 199,020.40, 298,524.20 and 65,906.80 is: 98,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,020.40 : 298,524.20 = 65,906.80 : x
  2. Step 2: Convert to fraction form
    199,020.40/298,524.20 = 65,906.80/x
  3. Step 3: Cross multiply
    199,020.40x = 298,524.20 × 65,906.80
  4. Step 4: Simplify right side
    199,020.40x = 19,674,774,744.56
  5. Step 5: Solve for x
    x = 19,674,774,744.56/199,020.40
  6. Step 6: Final answer
    x = 98,858.08

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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.