Finding the Fourth Proportional to 214,778.14, 296,394.52 and 119,284.82
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Solution
The fourth proportional to 214,778.14, 296,394.52 and 119,284.82 is: 164,613.43
Step by Step Solution
- Step 1: Write the proportion equation
214,778.14 : 296,394.52 = 119,284.82 : x - Step 2: Convert to fraction form
214,778.14/296,394.52 = 119,284.82/x - Step 3: Cross multiply
214,778.14x = 296,394.52 × 119,284.82 - Step 4: Simplify right side
214,778.14x = 35,355,366,967.19 - Step 5: Solve for x
x = 35,355,366,967.19/214,778.14 - Step 6: Final answer
x = 164,613.43
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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.