Finding the Fourth Proportional to 146,105,107.68, 201,568,951.84 and 83,384,690.56
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Solution
The fourth proportional to 146,105,107.68, 201,568,951.84 and 83,384,690.56 is: 115,038,857.59
Step by Step Solution
- Step 1: Write the proportion equation
146,105,107.68 : 201,568,951.84 = 83,384,690.56 : x - Step 2: Convert to fraction form
146,105,107.68/201,568,951.84 = 83,384,690.56/x - Step 3: Cross multiply
146,105,107.68x = 201,568,951.84 × 83,384,690.56 - Step 4: Simplify right side
146,105,107.68x = 16,807,764,675,681,944 - Step 5: Solve for x
x = 16,807,764,675,681,944/146,105,107.68 - Step 6: Final answer
x = 115,038,857.59
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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.