Finding the Fourth Proportional to 97,983.20, 146,973.84 and 27,853.28
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Solution
The fourth proportional to 97,983.20, 146,973.84 and 27,853.28 is: 41,779.65
Step by Step Solution
- Step 1: Write the proportion equation
97,983.20 : 146,973.84 = 27,853.28 : x - Step 2: Convert to fraction form
97,983.20/146,973.84 = 27,853.28/x - Step 3: Cross multiply
97,983.20x = 146,973.84 × 27,853.28 - Step 4: Simplify right side
97,983.20x = 4,093,703,518.20 - Step 5: Solve for x
x = 4,093,703,518.20/97,983.20 - Step 6: Final answer
x = 41,779.65
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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.