Finding the Fourth Proportional to 212,850,003,149.31, 293,734,836,102.02 and 121,403,186,004.54
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Solution
The fourth proportional to 212,850,003,149.31, 293,734,836,102.02 and 121,403,186,004.54 is: 167,537,441,464.31
Step by Step Solution
- Step 1: Write the proportion equation
212,850,003,149.31 : 293,734,836,102.02 = 121,403,186,004.54 : x - Step 2: Convert to fraction form
212,850,003,149.31/293,734,836,102.02 = 121,403,186,004.54/x - Step 3: Cross multiply
212,850,003,149.31x = 293,734,836,102.02 × 121,403,186,004.54 - Step 4: Simplify right side
212,850,003,149.31x = 35,660,344,943,306,604,544,000 - Step 5: Solve for x
x = 35,660,344,943,306,604,544,000/212,850,003,149.31 - Step 6: Final answer
x = 167,537,441,464.31
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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.