Finding the Fourth Proportional to 117,121,139,015.85, 161,630,581,283.77 and 66,370,394,188.17
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Solution
The fourth proportional to 117,121,139,015.85, 161,630,581,283.77 and 66,370,394,188.17 is: 91,593,076,047.66
Step by Step Solution
- Step 1: Write the proportion equation
117,121,139,015.85 : 161,630,581,283.77 = 66,370,394,188.17 : x - Step 2: Convert to fraction form
117,121,139,015.85/161,630,581,283.77 = 66,370,394,188.17/x - Step 3: Cross multiply
117,121,139,015.85x = 161,630,581,283.77 × 66,370,394,188.17 - Step 4: Simplify right side
117,121,139,015.85x = 10,727,485,392,666,866,221,056 - Step 5: Solve for x
x = 10,727,485,392,666,866,221,056/117,121,139,015.85 - Step 6: Final answer
x = 91,593,076,047.66
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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.