Finding the Fourth Proportional to 109,688.42, 164,511.82 and 53,471.99
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Solution
The fourth proportional to 109,688.42, 164,511.82 and 53,471.99 is: 80,197.84
Step by Step Solution
- Step 1: Write the proportion equation
109,688.42 : 164,511.82 = 53,471.99 : x - Step 2: Convert to fraction form
109,688.42/164,511.82 = 53,471.99/x - Step 3: Cross multiply
109,688.42x = 164,511.82 × 53,471.99 - Step 4: Simplify right side
109,688.42x = 8,796,774,126.56 - Step 5: Solve for x
x = 8,796,774,126.56/109,688.42 - Step 6: Final answer
x = 80,197.84
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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.