Finding the Fourth Proportional to 138,080,985,051.08, 189,167,803,680.70 and 132,918,358,788.20
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Solution
The fourth proportional to 138,080,985,051.08, 189,167,803,680.70 and 132,918,358,788.20 is: 182,095,123,318.43
Step by Step Solution
- Step 1: Write the proportion equation
138,080,985,051.08 : 189,167,803,680.70 = 132,918,358,788.20 : x - Step 2: Convert to fraction form
138,080,985,051.08/189,167,803,680.70 = 132,918,358,788.20/x - Step 3: Cross multiply
138,080,985,051.08x = 189,167,803,680.70 × 132,918,358,788.20 - Step 4: Simplify right side
138,080,985,051.08x = 25,143,874,000,807,065,026,560 - Step 5: Solve for x
x = 25,143,874,000,807,065,026,560/138,080,985,051.08 - Step 6: Final answer
x = 182,095,123,318.43
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.