Finding the Fourth Proportional to 142,833,787,895.09, 197,110,659,468.97 and 78,604,512,203.66
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Solution
The fourth proportional to 142,833,787,895.09, 197,110,659,468.97 and 78,604,512,203.66 is: 108,474,244,546.95
Step by Step Solution
- Step 1: Write the proportion equation
142,833,787,895.09 : 197,110,659,468.97 = 78,604,512,203.66 : x - Step 2: Convert to fraction form
142,833,787,895.09/197,110,659,468.97 = 78,604,512,203.66/x - Step 3: Cross multiply
142,833,787,895.09x = 197,110,659,468.97 × 78,604,512,203.66 - Step 4: Simplify right side
142,833,787,895.09x = 15,493,787,237,699,138,093,056 - Step 5: Solve for x
x = 15,493,787,237,699,138,093,056/142,833,787,895.09 - Step 6: Final answer
x = 108,474,244,546.95
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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.