Finding the Fourth Proportional to 205,730.14, 283,894.19 and 115,070.38
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Solution
The fourth proportional to 205,730.14, 283,894.19 and 115,070.38 is: 158,789.63
Step by Step Solution
- Step 1: Write the proportion equation
205,730.14 : 283,894.19 = 115,070.38 : x - Step 2: Convert to fraction form
205,730.14/283,894.19 = 115,070.38/x - Step 3: Cross multiply
205,730.14x = 283,894.19 × 115,070.38 - Step 4: Simplify right side
205,730.14x = 32,667,812,323.09 - Step 5: Solve for x
x = 32,667,812,323.09/205,730.14 - Step 6: Final answer
x = 158,789.63
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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.