Finding the Fourth Proportional to 81,256.24, 121,827.12 and 31,294.48
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Solution
The fourth proportional to 81,256.24, 121,827.12 and 31,294.48 is: 46,919.67
Step by Step Solution
- Step 1: Write the proportion equation
81,256.24 : 121,827.12 = 31,294.48 : x - Step 2: Convert to fraction form
81,256.24/121,827.12 = 31,294.48/x - Step 3: Cross multiply
81,256.24x = 121,827.12 × 31,294.48 - Step 4: Simplify right side
81,256.24x = 3,812,516,370.30 - Step 5: Solve for x
x = 3,812,516,370.30/81,256.24 - Step 6: Final answer
x = 46,919.67
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1.5x scale
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.