Finding the Fourth Proportional to 198,281,542,955.21, 273,629,455,903.59 and 112,647,207,687.46
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Solution
The fourth proportional to 198,281,542,955.21, 273,629,455,903.59 and 112,647,207,687.46 is: 155,453,673,040.77
Step by Step Solution
- Step 1: Write the proportion equation
198,281,542,955.21 : 273,629,455,903.59 = 112,647,207,687.46 : x - Step 2: Convert to fraction form
198,281,542,955.21/273,629,455,903.59 = 112,647,207,687.46/x - Step 3: Cross multiply
198,281,542,955.21x = 273,629,455,903.59 × 112,647,207,687.46 - Step 4: Simplify right side
198,281,542,955.21x = 30,823,594,148,578,382,053,376 - Step 5: Solve for x
x = 30,823,594,148,578,382,053,376/198,281,542,955.21 - Step 6: Final answer
x = 155,453,673,040.77
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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.