Finding the Fourth Proportional to 205,732.64, 283,899.62 and 115,071.09
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Solution
The fourth proportional to 205,732.64, 283,899.62 and 115,071.09 is: 158,791.72
Step by Step Solution
- Step 1: Write the proportion equation
205,732.64 : 283,899.62 = 115,071.09 : x - Step 2: Convert to fraction form
205,732.64/283,899.62 = 115,071.09/x - Step 3: Cross multiply
205,732.64x = 283,899.62 × 115,071.09 - Step 4: Simplify right side
205,732.64x = 32,668,639,011.66 - Step 5: Solve for x
x = 32,668,639,011.66/205,732.64 - Step 6: Final answer
x = 158,791.72
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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.