Finding the Fourth Proportional to 129,433.14, 194,114.09 and 81,977.06
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Solution
The fourth proportional to 129,433.14, 194,114.09 and 81,977.06 is: 122,943.02
Step by Step Solution
- Step 1: Write the proportion equation
129,433.14 : 194,114.09 = 81,977.06 : x - Step 2: Convert to fraction form
129,433.14/194,114.09 = 81,977.06/x - Step 3: Cross multiply
129,433.14x = 194,114.09 × 81,977.06 - Step 4: Simplify right side
129,433.14x = 15,912,901,022.32 - Step 5: Solve for x
x = 15,912,901,022.32/129,433.14 - Step 6: Final answer
x = 122,943.02
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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.