Finding the Fourth Proportional to 212,173,661,619.60, 292,798,163,529.12 and 115,829,748,078.48
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Solution
The fourth proportional to 212,173,661,619.60, 292,798,163,529.12 and 115,829,748,078.48 is: 159,844,239,197.91
Step by Step Solution
- Step 1: Write the proportion equation
212,173,661,619.60 : 292,798,163,529.12 = 115,829,748,078.48 : x - Step 2: Convert to fraction form
212,173,661,619.60/292,798,163,529.12 = 115,829,748,078.48/x - Step 3: Cross multiply
212,173,661,619.60x = 292,798,163,529.12 × 115,829,748,078.48 - Step 4: Simplify right side
212,173,661,619.60x = 33,914,737,519,419,560,296,448 - Step 5: Solve for x
x = 33,914,737,519,419,560,296,448/212,173,661,619.60 - Step 6: Final answer
x = 159,844,239,197.91
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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.