Finding the Fourth Proportional to 82,105,716.53, 112,702,340.62 and 72,605,126.09
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Solution
The fourth proportional to 82,105,716.53, 112,702,340.62 and 72,605,126.09 is: 99,661,363.39
Step by Step Solution
- Step 1: Write the proportion equation
82,105,716.53 : 112,702,340.62 = 72,605,126.09 : x - Step 2: Convert to fraction form
82,105,716.53/112,702,340.62 = 72,605,126.09/x - Step 3: Cross multiply
82,105,716.53x = 112,702,340.62 × 72,605,126.09 - Step 4: Simplify right side
82,105,716.53x = 8,182,767,651,353,230 - Step 5: Solve for x
x = 8,182,767,651,353,230/82,105,716.53 - Step 6: Final answer
x = 99,661,363.39
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.