Finding the Fourth Proportional to 117,860,857,144.98, 162,678,245,112.99 and 76,763,647,463.28
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Solution
The fourth proportional to 117,860,857,144.98, 162,678,245,112.99 and 76,763,647,463.28 is: 105,953,543,528.34
Step by Step Solution
- Step 1: Write the proportion equation
117,860,857,144.98 : 162,678,245,112.99 = 76,763,647,463.28 : x - Step 2: Convert to fraction form
117,860,857,144.98/162,678,245,112.99 = 76,763,647,463.28/x - Step 3: Cross multiply
117,860,857,144.98x = 162,678,245,112.99 × 76,763,647,463.28 - Step 4: Simplify right side
117,860,857,144.98x = 12,487,775,457,798,615,203,840 - Step 5: Solve for x
x = 12,487,775,457,798,615,203,840/117,860,857,144.98 - Step 6: Final answer
x = 105,953,543,528.34
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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.