Finding the Fourth Proportional to 204,474.40, 282,167.76 and 115,033.12
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Solution
The fourth proportional to 204,474.40, 282,167.76 and 115,033.12 is: 158,741.82
Step by Step Solution
- Step 1: Write the proportion equation
204,474.40 : 282,167.76 = 115,033.12 : x - Step 2: Convert to fraction form
204,474.40/282,167.76 = 115,033.12/x - Step 3: Cross multiply
204,474.40x = 282,167.76 × 115,033.12 - Step 4: Simplify right side
204,474.40x = 32,458,637,796.21 - Step 5: Solve for x
x = 32,458,637,796.21/204,474.40 - Step 6: Final answer
x = 158,741.82
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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.