Finding the Fourth Proportional to 146,252,586,243.45, 201,830,205,224.91 and 81,148,192,356.63
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Solution
The fourth proportional to 146,252,586,243.45, 201,830,205,224.91 and 81,148,192,356.63 is: 111,985,413,302.07
Step by Step Solution
- Step 1: Write the proportion equation
146,252,586,243.45 : 201,830,205,224.91 = 81,148,192,356.63 : x - Step 2: Convert to fraction form
146,252,586,243.45/201,830,205,224.91 = 81,148,192,356.63/x - Step 3: Cross multiply
146,252,586,243.45x = 201,830,205,224.91 × 81,148,192,356.63 - Step 4: Simplify right side
146,252,586,243.45x = 16,378,156,316,969,106,669,568 - Step 5: Solve for x
x = 16,378,156,316,969,106,669,568/146,252,586,243.45 - Step 6: Final answer
x = 111,985,413,302.07
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1.5x scale
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.