Finding the Fourth Proportional to 149,742.74, 206,645.41 and 81,760.30
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Solution
The fourth proportional to 149,742.74, 206,645.41 and 81,760.30 is: 112,829.45
Step by Step Solution
- Step 1: Write the proportion equation
149,742.74 : 206,645.41 = 81,760.30 : x - Step 2: Convert to fraction form
149,742.74/206,645.41 = 81,760.30/x - Step 3: Cross multiply
149,742.74x = 206,645.41 × 81,760.30 - Step 4: Simplify right side
149,742.74x = 16,895,390,715.22 - Step 5: Solve for x
x = 16,895,390,715.22/149,742.74 - Step 6: Final answer
x = 112,829.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.