Finding the Fourth Proportional to 97,678.27, 146,539.50 and 31,122.19
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Solution
The fourth proportional to 97,678.27, 146,539.50 and 31,122.19 is: 46,690.32
Step by Step Solution
- Step 1: Write the proportion equation
97,678.27 : 146,539.50 = 31,122.19 : x - Step 2: Convert to fraction form
97,678.27/146,539.50 = 31,122.19/x - Step 3: Cross multiply
97,678.27x = 146,539.50 × 31,122.19 - Step 4: Simplify right side
97,678.27x = 4,560,630,161.51 - Step 5: Solve for x
x = 4,560,630,161.51/97,678.27 - Step 6: Final answer
x = 46,690.32
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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.