Finding the Fourth Proportional to 196,281,312.14, 270,863,545.20 and 106,976,076.12
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Solution
The fourth proportional to 196,281,312.14, 270,863,545.20 and 106,976,076.12 is: 147,624,442.26
Step by Step Solution
- Step 1: Write the proportion equation
196,281,312.14 : 270,863,545.20 = 106,976,076.12 : x - Step 2: Convert to fraction form
196,281,312.14/270,863,545.20 = 106,976,076.12/x - Step 3: Cross multiply
196,281,312.14x = 270,863,545.20 × 106,976,076.12 - Step 4: Simplify right side
196,281,312.14x = 28,975,919,229,448,260 - Step 5: Solve for x
x = 28,975,919,229,448,260/196,281,312.14 - Step 6: Final answer
x = 147,624,442.26
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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.