Finding the Fourth Proportional to 156,135,670,398.96, 215,387,926,680.12 and 101,973,922,830.06
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Solution
The fourth proportional to 156,135,670,398.96, 215,387,926,680.12 and 101,973,922,830.06 is: 140,672,222,802.66
Step by Step Solution
- Step 1: Write the proportion equation
156,135,670,398.96 : 215,387,926,680.12 = 101,973,922,830.06 : x - Step 2: Convert to fraction form
156,135,670,398.96/215,387,926,680.12 = 101,973,922,830.06/x - Step 3: Cross multiply
156,135,670,398.96x = 215,387,926,680.12 × 101,973,922,830.06 - Step 4: Simplify right side
156,135,670,398.96x = 21,963,951,813,805,178,093,568 - Step 5: Solve for x
x = 21,963,951,813,805,178,093,568/156,135,670,398.96 - Step 6: Final answer
x = 140,672,222,802.66
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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.