Finding the Fourth Proportional to 138,080,801,412.09, 190,523,869,776.18 and 77,103,786,415.01
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Solution
The fourth proportional to 138,080,801,412.09, 190,523,869,776.18 and 77,103,786,415.01 is: 106,387,793,320.68
Step by Step Solution
- Step 1: Write the proportion equation
138,080,801,412.09 : 190,523,869,776.18 = 77,103,786,415.01 : x - Step 2: Convert to fraction form
138,080,801,412.09/190,523,869,776.18 = 77,103,786,415.01/x - Step 3: Cross multiply
138,080,801,412.09x = 190,523,869,776.18 × 77,103,786,415.01 - Step 4: Simplify right side
138,080,801,412.09x = 14,690,111,762,182,810,107,904 - Step 5: Solve for x
x = 14,690,111,762,182,810,107,904/138,080,801,412.09 - Step 6: Final answer
x = 106,387,793,320.68
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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.