Finding the Fourth Proportional to 163,960,635,028.20, 245,940,952,542.30 and 97,786,452,013.80
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Solution
The fourth proportional to 163,960,635,028.20, 245,940,952,542.30 and 97,786,452,013.80 is: 146,679,678,020.70
Step by Step Solution
- Step 1: Write the proportion equation
163,960,635,028.20 : 245,940,952,542.30 = 97,786,452,013.80 : x - Step 2: Convert to fraction form
163,960,635,028.20/245,940,952,542.30 = 97,786,452,013.80/x - Step 3: Cross multiply
163,960,635,028.20x = 245,940,952,542.30 × 97,786,452,013.80 - Step 4: Simplify right side
163,960,635,028.20x = 24,049,693,154,005,879,881,728 - Step 5: Solve for x
x = 24,049,693,154,005,879,881,728/163,960,635,028.20 - Step 6: Final answer
x = 146,679,678,020.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.