Finding the Fourth Proportional to 115,835.21, 159,770.16 and 106,305.88
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Solution
The fourth proportional to 115,835.21, 159,770.16 and 106,305.88 is: 146,626.46
Step by Step Solution
- Step 1: Write the proportion equation
115,835.21 : 159,770.16 = 106,305.88 : x - Step 2: Convert to fraction form
115,835.21/159,770.16 = 106,305.88/x - Step 3: Cross multiply
115,835.21x = 159,770.16 × 106,305.88 - Step 4: Simplify right side
115,835.21x = 16,984,506,657.69 - Step 5: Solve for x
x = 16,984,506,657.69/115,835.21 - Step 6: Final answer
x = 146,626.46
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.