Finding the Fourth Proportional to 213,345,023.24, 294,414,564.66 and 120,523,844.36
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Solution
The fourth proportional to 213,345,023.24, 294,414,564.66 and 120,523,844.36 is: 166,322,019.75
Step by Step Solution
- Step 1: Write the proportion equation
213,345,023.24 : 294,414,564.66 = 120,523,844.36 : x - Step 2: Convert to fraction form
213,345,023.24/294,414,564.66 = 120,523,844.36/x - Step 3: Cross multiply
213,345,023.24x = 294,414,564.66 × 120,523,844.36 - Step 4: Simplify right side
213,345,023.24x = 35,483,975,168,399,000 - Step 5: Solve for x
x = 35,483,975,168,399,000/213,345,023.24 - Step 6: Final answer
x = 166,322,019.75
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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.