Finding the Fourth Proportional to 120,994,158,378.12, 166,986,580,119.60 and 68,863,563,823.02
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Solution
The fourth proportional to 120,994,158,378.12, 166,986,580,119.60 and 68,863,563,823.02 is: 95,040,051,286.75
Step by Step Solution
- Step 1: Write the proportion equation
120,994,158,378.12 : 166,986,580,119.60 = 68,863,563,823.02 : x - Step 2: Convert to fraction form
120,994,158,378.12/166,986,580,119.60 = 68,863,563,823.02/x - Step 3: Cross multiply
120,994,158,378.12x = 166,986,580,119.60 × 68,863,563,823.02 - Step 4: Simplify right side
120,994,158,378.12x = 11,499,291,017,653,918,892,032 - Step 5: Solve for x
x = 11,499,291,017,653,918,892,032/120,994,158,378.12 - Step 6: Final answer
x = 95,040,051,286.75
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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.