Finding the Fourth Proportional to 205,294,348.13, 283,236,449.69 and 117,125,005.73
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Solution
The fourth proportional to 205,294,348.13, 283,236,449.69 and 117,125,005.73 is: 161,592,713.56
Step by Step Solution
- Step 1: Write the proportion equation
205,294,348.13 : 283,236,449.69 = 117,125,005.73 : x - Step 2: Convert to fraction form
205,294,348.13/283,236,449.69 = 117,125,005.73/x - Step 3: Cross multiply
205,294,348.13x = 283,236,449.69 × 117,125,005.73 - Step 4: Simplify right side
205,294,348.13x = 33,174,070,791,762,736 - Step 5: Solve for x
x = 33,174,070,791,762,736/205,294,348.13 - Step 6: Final answer
x = 161,592,713.56
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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.