Finding the Fourth Proportional to 206,202,561.84, 284,569,750.44 and 127,911,340.71
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Solution
The fourth proportional to 206,202,561.84, 284,569,750.44 and 127,911,340.71 is: 176,523,986.80
Step by Step Solution
- Step 1: Write the proportion equation
206,202,561.84 : 284,569,750.44 = 127,911,340.71 : x - Step 2: Convert to fraction form
206,202,561.84/284,569,750.44 = 127,911,340.71/x - Step 3: Cross multiply
206,202,561.84x = 284,569,750.44 × 127,911,340.71 - Step 4: Simplify right side
206,202,561.84x = 36,399,698,304,290,512 - Step 5: Solve for x
x = 36,399,698,304,290,512/206,202,561.84 - Step 6: Final answer
x = 176,523,986.80
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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.