Finding the Fourth Proportional to 147,267,422,743.70, 203,234,057,821.82 and 85,463,207,305.76
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Solution
The fourth proportional to 147,267,422,743.70, 203,234,057,821.82 and 85,463,207,305.76 is: 117,942,136,092.41
Step by Step Solution
- Step 1: Write the proportion equation
147,267,422,743.70 : 203,234,057,821.82 = 85,463,207,305.76 : x - Step 2: Convert to fraction form
147,267,422,743.70/203,234,057,821.82 = 85,463,207,305.76/x - Step 3: Cross multiply
147,267,422,743.70x = 203,234,057,821.82 × 85,463,207,305.76 - Step 4: Simplify right side
147,267,422,743.70x = 17,369,034,415,216,003,121,152 - Step 5: Solve for x
x = 17,369,034,415,216,003,121,152/147,267,422,743.70 - Step 6: Final answer
x = 117,942,136,092.41
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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.