Finding the Fourth Proportional to 77,278.20, 115,823.70 and 32,811.60
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Solution
The fourth proportional to 77,278.20, 115,823.70 and 32,811.60 is: 49,177.66
Step by Step Solution
- Step 1: Write the proportion equation
77,278.20 : 115,823.70 = 32,811.60 : x - Step 2: Convert to fraction form
77,278.20/115,823.70 = 32,811.60/x - Step 3: Cross multiply
77,278.20x = 115,823.70 × 32,811.60 - Step 4: Simplify right side
77,278.20x = 3,800,360,914.92 - Step 5: Solve for x
x = 3,800,360,914.92/77,278.20 - Step 6: Final answer
x = 49,177.66
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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.