Finding the Fourth Proportional to 156,135,670,396.95, 215,387,926,677.36 and 101,973,922,828.05
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Solution
The fourth proportional to 156,135,670,396.95, 215,387,926,677.36 and 101,973,922,828.05 is: 140,672,222,799.90
Step by Step Solution
- Step 1: Write the proportion equation
156,135,670,396.95 : 215,387,926,677.36 = 101,973,922,828.05 : x - Step 2: Convert to fraction form
156,135,670,396.95/215,387,926,677.36 = 101,973,922,828.05/x - Step 3: Cross multiply
156,135,670,396.95x = 215,387,926,677.36 × 101,973,922,828.05 - Step 4: Simplify right side
156,135,670,396.95x = 21,963,951,813,090,800,041,984 - Step 5: Solve for x
x = 21,963,951,813,090,800,041,984/156,135,670,396.95 - Step 6: Final answer
x = 140,672,222,799.90
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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.