Finding the Fourth Proportional to 106,509.23, 159,785.71 and 43,329.19
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Solution
The fourth proportional to 106,509.23, 159,785.71 and 43,329.19 is: 65,002.67
Step by Step Solution
- Step 1: Write the proportion equation
106,509.23 : 159,785.71 = 43,329.19 : x - Step 2: Convert to fraction form
106,509.23/159,785.71 = 43,329.19/x - Step 3: Cross multiply
106,509.23x = 159,785.71 × 43,329.19 - Step 4: Simplify right side
106,509.23x = 6,923,384,372.30 - Step 5: Solve for x
x = 6,923,384,372.30/106,509.23 - Step 6: Final answer
x = 65,002.67
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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.