Finding the Fourth Proportional to 87,100,641,201.13, 120,182,928,533.07 and 48,518,600,935.71
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Solution
The fourth proportional to 87,100,641,201.13, 120,182,928,533.07 and 48,518,600,935.71 is: 66,946,780,969.34
Step by Step Solution
- Step 1: Write the proportion equation
87,100,641,201.13 : 120,182,928,533.07 = 48,518,600,935.71 : x - Step 2: Convert to fraction form
87,100,641,201.13/120,182,928,533.07 = 48,518,600,935.71/x - Step 3: Cross multiply
87,100,641,201.13x = 120,182,928,533.07 × 48,518,600,935.71 - Step 4: Simplify right side
87,100,641,201.13x = 5,831,107,548,780,978,765,824 - Step 5: Solve for x
x = 5,831,107,548,780,978,765,824/87,100,641,201.13 - Step 6: Final answer
x = 66,946,780,969.34
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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.