Finding the Fourth Proportional to 216,660,415.84, 298,991,953.38 and 117,541,163.23
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Solution
The fourth proportional to 216,660,415.84, 298,991,953.38 and 117,541,163.23 is: 162,207,119.65
Step by Step Solution
- Step 1: Write the proportion equation
216,660,415.84 : 298,991,953.38 = 117,541,163.23 : x - Step 2: Convert to fraction form
216,660,415.84/298,991,953.38 = 117,541,163.23/x - Step 3: Cross multiply
216,660,415.84x = 298,991,953.38 × 117,541,163.23 - Step 4: Simplify right side
216,660,415.84x = 35,143,861,995,200,168 - Step 5: Solve for x
x = 35,143,861,995,200,168/216,660,415.84 - Step 6: Final answer
x = 162,207,119.65
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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.