Finding the Fourth Proportional to 81,873,670,102.84, 112,991,511,393.91 and 45,250,997,614.17
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Solution
The fourth proportional to 81,873,670,102.84, 112,991,511,393.91 and 45,250,997,614.17 is: 62,449,608,110.70
Step by Step Solution
- Step 1: Write the proportion equation
81,873,670,102.84 : 112,991,511,393.91 = 45,250,997,614.17 : x - Step 2: Convert to fraction form
81,873,670,102.84/112,991,511,393.91 = 45,250,997,614.17/x - Step 3: Cross multiply
81,873,670,102.84x = 112,991,511,393.91 × 45,250,997,614.17 - Step 4: Simplify right side
81,873,670,102.84x = 5,112,978,612,507,283,292,160 - Step 5: Solve for x
x = 5,112,978,612,507,283,292,160/81,873,670,102.84 - Step 6: Final answer
x = 62,449,608,110.70
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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.