Finding the Fourth Proportional to 97,870.16, 146,803.11 and 31,310.09
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Solution
The fourth proportional to 97,870.16, 146,803.11 and 31,310.09 is: 46,964.45
Step by Step Solution
- Step 1: Write the proportion equation
97,870.16 : 146,803.11 = 31,310.09 : x - Step 2: Convert to fraction form
97,870.16/146,803.11 = 31,310.09/x - Step 3: Cross multiply
97,870.16x = 146,803.11 × 31,310.09 - Step 4: Simplify right side
97,870.16x = 4,596,418,586.38 - Step 5: Solve for x
x = 4,596,418,586.38/97,870.16 - Step 6: Final answer
x = 46,964.45
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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.