Finding the Fourth Proportional to 171,815.96, 257,713.68 and 102,138.68
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Solution
The fourth proportional to 171,815.96, 257,713.68 and 102,138.68 is: 153,201.92
Step by Step Solution
- Step 1: Write the proportion equation
171,815.96 : 257,713.68 = 102,138.68 : x - Step 2: Convert to fraction form
171,815.96/257,713.68 = 102,138.68/x - Step 3: Cross multiply
171,815.96x = 257,713.68 × 102,138.68 - Step 4: Simplify right side
171,815.96x = 26,322,535,093.14 - Step 5: Solve for x
x = 26,322,535,093.14/171,815.96 - Step 6: Final answer
x = 153,201.92
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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.