Finding the Fourth Proportional to 214,248,138.63, 295,665,670.86 and 120,183,137.07
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Solution
The fourth proportional to 214,248,138.63, 295,665,670.86 and 120,183,137.07 is: 165,854,546.39
Step by Step Solution
- Step 1: Write the proportion equation
214,248,138.63 : 295,665,670.86 = 120,183,137.07 : x - Step 2: Convert to fraction form
214,248,138.63/295,665,670.86 = 120,183,137.07/x - Step 3: Cross multiply
214,248,138.63x = 295,665,670.86 × 120,183,137.07 - Step 4: Simplify right side
214,248,138.63x = 35,534,027,847,860,884 - Step 5: Solve for x
x = 35,534,027,847,860,884/214,248,138.63 - Step 6: Final answer
x = 165,854,546.39
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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.