Finding the Fourth Proportional to 106,392.24, 159,605.64 and 31,519.62
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Solution
The fourth proportional to 106,392.24, 159,605.64 and 31,519.62 is: 47,284.55
Step by Step Solution
- Step 1: Write the proportion equation
106,392.24 : 159,605.64 = 31,519.62 : x - Step 2: Convert to fraction form
106,392.24/159,605.64 = 31,519.62/x - Step 3: Cross multiply
106,392.24x = 159,605.64 × 31,519.62 - Step 4: Simplify right side
106,392.24x = 5,030,709,122.66 - Step 5: Solve for x
x = 5,030,709,122.66/106,392.24 - Step 6: Final answer
x = 47,284.55
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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.