Finding the Fourth Proportional to 148,388,125,668.38, 221,582,940,557.83 and 121,183,773,695.75
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Solution
The fourth proportional to 148,388,125,668.38, 221,582,940,557.83 and 121,183,773,695.75 is: 180,959,607,127.92
Step by Step Solution
- Step 1: Write the proportion equation
148,388,125,668.38 : 221,582,940,557.83 = 121,183,773,695.75 : x - Step 2: Convert to fraction form
148,388,125,668.38/221,582,940,557.83 = 121,183,773,695.75/x - Step 3: Cross multiply
148,388,125,668.38x = 221,582,940,557.83 × 121,183,773,695.75 - Step 4: Simplify right side
148,388,125,668.38x = 26,852,256,923,398,891,896,832 - Step 5: Solve for x
x = 26,852,256,923,398,891,896,832/148,388,125,668.38 - Step 6: Final answer
x = 180,959,607,127.92
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.