Finding the Fourth Proportional to 168,171,231,107.14, 252,257,501,117.39 and 40,685,718,319.62
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Solution
The fourth proportional to 168,171,231,107.14, 252,257,501,117.39 and 40,685,718,319.62 is: 61,028,735,812.34
Step by Step Solution
- Step 1: Write the proportion equation
168,171,231,107.14 : 252,257,501,117.39 = 40,685,718,319.62 : x - Step 2: Convert to fraction form
168,171,231,107.14/252,257,501,117.39 = 40,685,718,319.62/x - Step 3: Cross multiply
168,171,231,107.14x = 252,257,501,117.39 × 40,685,718,319.62 - Step 4: Simplify right side
168,171,231,107.14x = 10,263,277,634,473,357,737,984 - Step 5: Solve for x
x = 10,263,277,634,473,357,737,984/168,171,231,107.14 - Step 6: Final answer
x = 61,028,735,812.34
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.