Finding the Fourth Proportional to 205,711.24, 283,973.88 and 120,833.68
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Solution
The fourth proportional to 205,711.24, 283,973.88 and 120,833.68 is: 166,804.74
Step by Step Solution
- Step 1: Write the proportion equation
205,711.24 : 283,973.88 = 120,833.68 : x - Step 2: Convert to fraction form
205,711.24/283,973.88 = 120,833.68/x - Step 3: Cross multiply
205,711.24x = 283,973.88 × 120,833.68 - Step 4: Simplify right side
205,711.24x = 34,313,608,944.28 - Step 5: Solve for x
x = 34,313,608,944.28/205,711.24 - Step 6: Final answer
x = 166,804.74
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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.