Finding the Fourth Proportional to 129,384,490,428.48, 194,959,880,101.92 and 106,319,411,601.12
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Solution
The fourth proportional to 129,384,490,428.48, 194,959,880,101.92 and 106,319,411,601.12 is: 160,204,825,706.83
Step by Step Solution
- Step 1: Write the proportion equation
129,384,490,428.48 : 194,959,880,101.92 = 106,319,411,601.12 : x - Step 2: Convert to fraction form
129,384,490,428.48/194,959,880,101.92 = 106,319,411,601.12/x - Step 3: Cross multiply
129,384,490,428.48x = 194,959,880,101.92 × 106,319,411,601.12 - Step 4: Simplify right side
129,384,490,428.48x = 20,728,019,738,261,037,514,752 - Step 5: Solve for x
x = 20,728,019,738,261,037,514,752/129,384,490,428.48 - Step 6: Final answer
x = 160,204,825,706.83
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.