Finding the Fourth Proportional to 145,582,512.82, 218,482,225.68 and 106,821,126.96
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Solution
The fourth proportional to 145,582,512.82, 218,482,225.68 and 106,821,126.96 is: 160,311,270.33
Step by Step Solution
- Step 1: Write the proportion equation
145,582,512.82 : 218,482,225.68 = 106,821,126.96 : x - Step 2: Convert to fraction form
145,582,512.82/218,482,225.68 = 106,821,126.96/x - Step 3: Cross multiply
145,582,512.82x = 218,482,225.68 × 106,821,126.96 - Step 4: Simplify right side
145,582,512.82x = 23,338,517,567,866,652 - Step 5: Solve for x
x = 23,338,517,567,866,652/145,582,512.82 - Step 6: Final answer
x = 160,311,270.33
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.