Finding the Fourth Proportional to 77,286.14, 115,945.84 and 23,977.06
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Solution
The fourth proportional to 77,286.14, 115,945.84 and 23,977.06 is: 35,970.75
Step by Step Solution
- Step 1: Write the proportion equation
77,286.14 : 115,945.84 = 23,977.06 : x - Step 2: Convert to fraction form
77,286.14/115,945.84 = 23,977.06/x - Step 3: Cross multiply
77,286.14x = 115,945.84 × 23,977.06 - Step 4: Simplify right side
77,286.14x = 2,780,040,362.43 - Step 5: Solve for x
x = 2,780,040,362.43/77,286.14 - Step 6: Final answer
x = 35,970.75
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1.5x scale
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.