Finding the Fourth Proportional to 146,252,586,242.45, 201,830,205,223.53 and 81,148,192,355.63
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Solution
The fourth proportional to 146,252,586,242.45, 201,830,205,223.53 and 81,148,192,355.63 is: 111,985,413,300.69
Step by Step Solution
- Step 1: Write the proportion equation
146,252,586,242.45 : 201,830,205,223.53 = 81,148,192,355.63 : x - Step 2: Convert to fraction form
146,252,586,242.45/201,830,205,223.53 = 81,148,192,355.63/x - Step 3: Cross multiply
146,252,586,242.45x = 201,830,205,223.53 × 81,148,192,355.63 - Step 4: Simplify right side
146,252,586,242.45x = 16,378,156,316,654,888,288,256 - Step 5: Solve for x
x = 16,378,156,316,654,888,288,256/146,252,586,242.45 - Step 6: Final answer
x = 111,985,413,300.69
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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.