Finding the Fourth Proportional to 102,975.94, 142,099.92 and 57,646.26
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Solution
The fourth proportional to 102,975.94, 142,099.92 and 57,646.26 is: 79,547.99
Step by Step Solution
- Step 1: Write the proportion equation
102,975.94 : 142,099.92 = 57,646.26 : x - Step 2: Convert to fraction form
102,975.94/142,099.92 = 57,646.26/x - Step 3: Cross multiply
102,975.94x = 142,099.92 × 57,646.26 - Step 4: Simplify right side
102,975.94x = 8,191,528,934.30 - Step 5: Solve for x
x = 8,191,528,934.30/102,975.94 - Step 6: Final answer
x = 79,547.99
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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.