Finding the Fourth Proportional to 205,000.16, 282,899.76 and 115,575.52
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Solution
The fourth proportional to 205,000.16, 282,899.76 and 115,575.52 is: 159,493.96
Step by Step Solution
- Step 1: Write the proportion equation
205,000.16 : 282,899.76 = 115,575.52 : x - Step 2: Convert to fraction form
205,000.16/282,899.76 = 115,575.52/x - Step 3: Cross multiply
205,000.16x = 282,899.76 × 115,575.52 - Step 4: Simplify right side
205,000.16x = 32,696,286,869.88 - Step 5: Solve for x
x = 32,696,286,869.88/205,000.16 - Step 6: Final answer
x = 159,493.96
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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.