Finding the Fourth Proportional to 105,831.26, 158,669.12 and 53,187.74
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Solution
The fourth proportional to 105,831.26, 158,669.12 and 53,187.74 is: 79,742.52
Step by Step Solution
- Step 1: Write the proportion equation
105,831.26 : 158,669.12 = 53,187.74 : x - Step 2: Convert to fraction form
105,831.26/158,669.12 = 53,187.74/x - Step 3: Cross multiply
105,831.26x = 158,669.12 × 53,187.74 - Step 4: Simplify right side
105,831.26x = 8,439,251,107.24 - Step 5: Solve for x
x = 8,439,251,107.24/105,831.26 - Step 6: Final answer
x = 79,742.52
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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.