Finding the Fourth Proportional to 205,985.72, 284,236.80 and 115,329.08
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Solution
The fourth proportional to 205,985.72, 284,236.80 and 115,329.08 is: 159,140.98
Step by Step Solution
- Step 1: Write the proportion equation
205,985.72 : 284,236.80 = 115,329.08 : x - Step 2: Convert to fraction form
205,985.72/284,236.80 = 115,329.08/x - Step 3: Cross multiply
205,985.72x = 284,236.80 × 115,329.08 - Step 4: Simplify right side
205,985.72x = 32,780,768,646.14 - Step 5: Solve for x
x = 32,780,768,646.14/205,985.72 - Step 6: Final answer
x = 159,140.98
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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.