Finding the Fourth Proportional to 205,358.63, 283,394.90 and 115,934.63
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Solution
The fourth proportional to 205,358.63, 283,394.90 and 115,934.63 is: 159,989.78
Step by Step Solution
- Step 1: Write the proportion equation
205,358.63 : 283,394.90 = 115,934.63 : x - Step 2: Convert to fraction form
205,358.63/283,394.90 = 115,934.63/x - Step 3: Cross multiply
205,358.63x = 283,394.90 × 115,934.63 - Step 4: Simplify right side
205,358.63x = 32,855,281,748.25 - Step 5: Solve for x
x = 32,855,281,748.25/205,358.63 - Step 6: Final answer
x = 159,989.78
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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.