Finding the Fourth Proportional to 82,200,584.09, 113,409,170.92 and 47,392,515.65
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Solution
The fourth proportional to 82,200,584.09, 113,409,170.92 and 47,392,515.65 is: 65,385,738.65
Step by Step Solution
- Step 1: Write the proportion equation
82,200,584.09 : 113,409,170.92 = 47,392,515.65 : x - Step 2: Convert to fraction form
82,200,584.09/113,409,170.92 = 47,392,515.65/x - Step 3: Cross multiply
82,200,584.09x = 113,409,170.92 × 47,392,515.65 - Step 4: Simplify right side
82,200,584.09x = 5,374,745,908,022,389 - Step 5: Solve for x
x = 5,374,745,908,022,389/82,200,584.09 - Step 6: Final answer
x = 65,385,738.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.