Finding the Fourth Proportional to 205,296.87, 283,295.57 and 113,412.09
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Solution
The fourth proportional to 205,296.87, 283,295.57 and 113,412.09 is: 156,500.89
Step by Step Solution
- Step 1: Write the proportion equation
205,296.87 : 283,295.57 = 113,412.09 : x - Step 2: Convert to fraction form
205,296.87/283,295.57 = 113,412.09/x - Step 3: Cross multiply
205,296.87x = 283,295.57 × 113,412.09 - Step 4: Simplify right side
205,296.87x = 32,129,142,681.44 - Step 5: Solve for x
x = 32,129,142,681.44/205,296.87 - Step 6: Final answer
x = 156,500.89
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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.