Finding the Fourth Proportional to 205,662,993.68, 283,815,470.24 and 111,577,135.74
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Solution
The fourth proportional to 205,662,993.68, 283,815,470.24 and 111,577,135.74 is: 153,976,739.72
Step by Step Solution
- Step 1: Write the proportion equation
205,662,993.68 : 283,815,470.24 = 111,577,135.74 : x - Step 2: Convert to fraction form
205,662,993.68/283,815,470.24 = 111,577,135.74/x - Step 3: Cross multiply
205,662,993.68x = 283,815,470.24 × 111,577,135.74 - Step 4: Simplify right side
205,662,993.68x = 31,667,317,247,522,524 - Step 5: Solve for x
x = 31,667,317,247,522,524/205,662,993.68 - Step 6: Final answer
x = 153,976,739.72
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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.