Finding the Fourth Proportional to 81,970.81, 122,931.92 and 35,212.75
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Solution
The fourth proportional to 81,970.81, 122,931.92 and 35,212.75 is: 52,808.69
Step by Step Solution
- Step 1: Write the proportion equation
81,970.81 : 122,931.92 = 35,212.75 : x - Step 2: Convert to fraction form
81,970.81/122,931.92 = 35,212.75/x - Step 3: Cross multiply
81,970.81x = 122,931.92 × 35,212.75 - Step 4: Simplify right side
81,970.81x = 4,328,770,789.92 - Step 5: Solve for x
x = 4,328,770,789.92/81,970.81 - Step 6: Final answer
x = 52,808.69
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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.