Finding the Fourth Proportional to 204,534,245.61, 282,258,120.93 and 115,227,261.29
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Solution
The fourth proportional to 204,534,245.61, 282,258,120.93 and 115,227,261.29 is: 159,014,106.19
Step by Step Solution
- Step 1: Write the proportion equation
204,534,245.61 : 282,258,120.93 = 115,227,261.29 : x - Step 2: Convert to fraction form
204,534,245.61/282,258,120.93 = 115,227,261.29/x - Step 3: Cross multiply
204,534,245.61x = 282,258,120.93 × 115,227,261.29 - Step 4: Simplify right side
204,534,245.61x = 32,523,830,251,625,532 - Step 5: Solve for x
x = 32,523,830,251,625,532/204,534,245.61 - Step 6: Final answer
x = 159,014,106.19
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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.