Finding the Fourth Proportional to 142,833,787,398.08, 197,110,658,784 and 78,604,511,706.36
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Solution
The fourth proportional to 142,833,787,398.08, 197,110,658,784 and 78,604,511,706.36 is: 108,474,243,861.18
Step by Step Solution
- Step 1: Write the proportion equation
142,833,787,398.08 : 197,110,658,784 = 78,604,511,706.36 : x - Step 2: Convert to fraction form
142,833,787,398.08/197,110,658,784 = 78,604,511,706.36/x - Step 3: Cross multiply
142,833,787,398.08x = 197,110,658,784 × 78,604,511,706.36 - Step 4: Simplify right side
142,833,787,398.08x = 15,493,787,085,835,260,133,376 - Step 5: Solve for x
x = 15,493,787,085,835,260,133,376/142,833,787,398.08 - Step 6: Final answer
x = 108,474,243,861.18
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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.