Finding the Fourth Proportional to 200,127,016.29, 276,178,102.58 and 115,307,257.69
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Solution
The fourth proportional to 200,127,016.29, 276,178,102.58 and 115,307,257.69 is: 159,125,640.46
Step by Step Solution
- Step 1: Write the proportion equation
200,127,016.29 : 276,178,102.58 = 115,307,257.69 : x - Step 2: Convert to fraction form
200,127,016.29/276,178,102.58 = 115,307,257.69/x - Step 3: Cross multiply
200,127,016.29x = 276,178,102.58 × 115,307,257.69 - Step 4: Simplify right side
200,127,016.29x = 31,845,339,640,569,888 - Step 5: Solve for x
x = 31,845,339,640,569,888/200,127,016.29 - Step 6: Final answer
x = 159,125,640.46
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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.