Finding the Fourth Proportional to 97,830.78, 146,674.35 and 31,232.58
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Solution
The fourth proportional to 97,830.78, 146,674.35 and 31,232.58 is: 46,825.94
Step by Step Solution
- Step 1: Write the proportion equation
97,830.78 : 146,674.35 = 31,232.58 : x - Step 2: Convert to fraction form
97,830.78/146,674.35 = 31,232.58/x - Step 3: Cross multiply
97,830.78x = 146,674.35 × 31,232.58 - Step 4: Simplify right side
97,830.78x = 4,581,018,370.32 - Step 5: Solve for x
x = 4,581,018,370.32/97,830.78 - Step 6: Final answer
x = 46,825.94
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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.