Finding the Fourth Proportional to 137,894.12, 190,293.78 and 78,278.12
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Solution
The fourth proportional to 137,894.12, 190,293.78 and 78,278.12 is: 108,023.75
Step by Step Solution
- Step 1: Write the proportion equation
137,894.12 : 190,293.78 = 78,278.12 : x - Step 2: Convert to fraction form
137,894.12/190,293.78 = 78,278.12/x - Step 3: Cross multiply
137,894.12x = 190,293.78 × 78,278.12 - Step 4: Simplify right side
137,894.12x = 14,895,839,346.09 - Step 5: Solve for x
x = 14,895,839,346.09/137,894.12 - Step 6: Final answer
x = 108,023.75
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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.