Finding the Fourth Proportional to 106,813.94, 160,182.60 and 31,920.14
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Solution
The fourth proportional to 106,813.94, 160,182.60 and 31,920.14 is: 47,868.76
Step by Step Solution
- Step 1: Write the proportion equation
106,813.94 : 160,182.60 = 31,920.14 : x - Step 2: Convert to fraction form
106,813.94/160,182.60 = 31,920.14/x - Step 3: Cross multiply
106,813.94x = 160,182.60 × 31,920.14 - Step 4: Simplify right side
106,813.94x = 5,113,051,017.56 - Step 5: Solve for x
x = 5,113,051,017.56/106,813.94 - Step 6: Final answer
x = 47,868.76
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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.