Finding the Fourth Proportional to 213,096,075.80, 319,644,113.70 and 98,304,819.80
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Solution
The fourth proportional to 213,096,075.80, 319,644,113.70 and 98,304,819.80 is: 147,457,229.70
Step by Step Solution
- Step 1: Write the proportion equation
213,096,075.80 : 319,644,113.70 = 98,304,819.80 : x - Step 2: Convert to fraction form
213,096,075.80/319,644,113.70 = 98,304,819.80/x - Step 3: Cross multiply
213,096,075.80x = 319,644,113.70 × 98,304,819.80 - Step 4: Simplify right side
213,096,075.80x = 31,422,556,997,409,208 - Step 5: Solve for x
x = 31,422,556,997,409,208/213,096,075.80 - Step 6: Final answer
x = 147,457,229.70
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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.