Finding the Fourth Proportional to 106,169.86, 159,201.06 and 47,023.66
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Solution
The fourth proportional to 106,169.86, 159,201.06 and 47,023.66 is: 70,511.69
Step by Step Solution
- Step 1: Write the proportion equation
106,169.86 : 159,201.06 = 47,023.66 : x - Step 2: Convert to fraction form
106,169.86/159,201.06 = 47,023.66/x - Step 3: Cross multiply
106,169.86x = 159,201.06 × 47,023.66 - Step 4: Simplify right side
106,169.86x = 7,486,216,517.08 - Step 5: Solve for x
x = 7,486,216,517.08/106,169.86 - Step 6: Final answer
x = 70,511.69
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1.5x scale
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.