Finding the Fourth Proportional to 192,745,440,306.30, 265,991,117,902.84 and 105,947,486,590.14
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Solution
The fourth proportional to 192,745,440,306.30, 265,991,117,902.84 and 105,947,486,590.14 is: 146,208,856,366.84
Step by Step Solution
- Step 1: Write the proportion equation
192,745,440,306.30 : 265,991,117,902.84 = 105,947,486,590.14 : x - Step 2: Convert to fraction form
192,745,440,306.30/265,991,117,902.84 = 105,947,486,590.14/x - Step 3: Cross multiply
192,745,440,306.30x = 265,991,117,902.84 × 105,947,486,590.14 - Step 4: Simplify right side
192,745,440,306.30x = 28,181,090,397,107,488,030,720 - Step 5: Solve for x
x = 28,181,090,397,107,488,030,720/192,745,440,306.30 - Step 6: Final answer
x = 146,208,856,366.84
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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.