Finding the Fourth Proportional to 120,382,802.96, 166,142,450.16 and 71,490,230.96
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Solution
The fourth proportional to 120,382,802.96, 166,142,450.16 and 71,490,230.96 is: 98,664,940.86
Step by Step Solution
- Step 1: Write the proportion equation
120,382,802.96 : 166,142,450.16 = 71,490,230.96 : x - Step 2: Convert to fraction form
120,382,802.96/166,142,450.16 = 71,490,230.96/x - Step 3: Cross multiply
120,382,802.96x = 166,142,450.16 × 71,490,230.96 - Step 4: Simplify right side
120,382,802.96x = 11,877,562,134,198,688 - Step 5: Solve for x
x = 11,877,562,134,198,688/120,382,802.96 - Step 6: Final answer
x = 98,664,940.86
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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.