Finding the Fourth Proportional to 81,103.16, 121,658.09 and 27,831.75
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Solution
The fourth proportional to 81,103.16, 121,658.09 and 27,831.75 is: 41,748.78
Step by Step Solution
- Step 1: Write the proportion equation
81,103.16 : 121,658.09 = 27,831.75 : x - Step 2: Convert to fraction form
81,103.16/121,658.09 = 27,831.75/x - Step 3: Cross multiply
81,103.16x = 121,658.09 × 27,831.75 - Step 4: Simplify right side
81,103.16x = 3,385,957,407.20 - Step 5: Solve for x
x = 3,385,957,407.20/81,103.16 - Step 6: Final answer
x = 41,748.78
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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.