Finding the Fourth Proportional to 196,281,313.14, 270,863,546.58 and 106,976,077.12
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Solution
The fourth proportional to 196,281,313.14, 270,863,546.58 and 106,976,077.12 is: 147,624,443.63
Step by Step Solution
- Step 1: Write the proportion equation
196,281,313.14 : 270,863,546.58 = 106,976,077.12 : x - Step 2: Convert to fraction form
196,281,313.14/270,863,546.58 = 106,976,077.12/x - Step 3: Cross multiply
196,281,313.14x = 270,863,546.58 × 106,976,077.12 - Step 4: Simplify right side
196,281,313.14x = 28,975,919,647,938,792 - Step 5: Solve for x
x = 28,975,919,647,938,792/196,281,313.14 - Step 6: Final answer
x = 147,624,443.63
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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.