Finding the Fourth Proportional to 204,431,810.94, 282,114,438.84 and 111,612,316.02
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Solution
The fourth proportional to 204,431,810.94, 282,114,438.84 and 111,612,316.02 is: 154,024,198.86
Step by Step Solution
- Step 1: Write the proportion equation
204,431,810.94 : 282,114,438.84 = 111,612,316.02 : x - Step 2: Convert to fraction form
204,431,810.94/282,114,438.84 = 111,612,316.02/x - Step 3: Cross multiply
204,431,810.94x = 282,114,438.84 × 111,612,316.02 - Step 4: Simplify right side
204,431,810.94x = 31,487,445,901,615,040 - Step 5: Solve for x
x = 31,487,445,901,615,040/204,431,810.94 - Step 6: Final answer
x = 154,024,198.86
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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.