Finding the Fourth Proportional to 97,695.68, 146,541.92 and 31,134.92
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Solution
The fourth proportional to 97,695.68, 146,541.92 and 31,134.92 is: 46,701.87
Step by Step Solution
- Step 1: Write the proportion equation
97,695.68 : 146,541.92 = 31,134.92 : x - Step 2: Convert to fraction form
97,695.68/146,541.92 = 31,134.92/x - Step 3: Cross multiply
97,695.68x = 146,541.92 × 31,134.92 - Step 4: Simplify right side
97,695.68x = 4,562,570,955.85 - Step 5: Solve for x
x = 4,562,570,955.85/97,695.68 - Step 6: Final answer
x = 46,701.87
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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.