Finding the Fourth Proportional to 109,725.31, 164,555.16 and 57,106.09
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Solution
The fourth proportional to 109,725.31, 164,555.16 and 57,106.09 is: 85,642.07
Step by Step Solution
- Step 1: Write the proportion equation
109,725.31 : 164,555.16 = 57,106.09 : x - Step 2: Convert to fraction form
109,725.31/164,555.16 = 57,106.09/x - Step 3: Cross multiply
109,725.31x = 164,555.16 × 57,106.09 - Step 4: Simplify right side
109,725.31x = 9,397,102,713.11 - Step 5: Solve for x
x = 9,397,102,713.11/109,725.31 - Step 6: Final answer
x = 85,642.07
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.