Finding the Fourth Proportional to 97,871.16, 146,804.61 and 31,311.09
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Solution
The fourth proportional to 97,871.16, 146,804.61 and 31,311.09 is: 46,965.95
Step by Step Solution
- Step 1: Write the proportion equation
97,871.16 : 146,804.61 = 31,311.09 : x - Step 2: Convert to fraction form
97,871.16/146,804.61 = 31,311.09/x - Step 3: Cross multiply
97,871.16x = 146,804.61 × 31,311.09 - Step 4: Simplify right side
97,871.16x = 4,596,612,356.12 - Step 5: Solve for x
x = 4,596,612,356.12/97,871.16 - Step 6: Final answer
x = 46,965.95
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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.