Finding the Fourth Proportional to 106,335.09, 159,502.14 and 31,455.63
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Solution
The fourth proportional to 106,335.09, 159,502.14 and 31,455.63 is: 47,183.30
Step by Step Solution
- Step 1: Write the proportion equation
106,335.09 : 159,502.14 = 31,455.63 : x - Step 2: Convert to fraction form
106,335.09/159,502.14 = 31,455.63/x - Step 3: Cross multiply
106,335.09x = 159,502.14 × 31,455.63 - Step 4: Simplify right side
106,335.09x = 5,017,240,300.05 - Step 5: Solve for x
x = 5,017,240,300.05/106,335.09 - Step 6: Final answer
x = 47,183.30
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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.