Finding the Fourth Proportional to 49,678,194.86, 74,517,274.76 and 13,285,639.36
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Solution
The fourth proportional to 49,678,194.86, 74,517,274.76 and 13,285,639.36 is: 19,928,454.35
Step by Step Solution
- Step 1: Write the proportion equation
49,678,194.86 : 74,517,274.76 = 13,285,639.36 : x - Step 2: Convert to fraction form
49,678,194.86/74,517,274.76 = 13,285,639.36/x - Step 3: Cross multiply
49,678,194.86x = 74,517,274.76 × 13,285,639.36 - Step 4: Simplify right side
49,678,194.86x = 990,009,638,510,595.75 - Step 5: Solve for x
x = 990,009,638,510,595.75/49,678,194.86 - Step 6: Final answer
x = 19,928,454.35
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.