Finding the Fourth Proportional to 149,153.13, 205,831.26 and 82,085.13
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Solution
The fourth proportional to 149,153.13, 205,831.26 and 82,085.13 is: 113,277.45
Step by Step Solution
- Step 1: Write the proportion equation
149,153.13 : 205,831.26 = 82,085.13 : x - Step 2: Convert to fraction form
149,153.13/205,831.26 = 82,085.13/x - Step 3: Cross multiply
149,153.13x = 205,831.26 × 82,085.13 - Step 4: Simplify right side
149,153.13x = 16,895,685,735.16 - Step 5: Solve for x
x = 16,895,685,735.16/149,153.13 - Step 6: Final answer
x = 113,277.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.