Finding the Fourth Proportional to 100,714,712,269.41, 138,998,490,582.95 and 57,321,548,120.05
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Solution
The fourth proportional to 100,714,712,269.41, 138,998,490,582.95 and 57,321,548,120.05 is: 79,110,672,979.45
Step by Step Solution
- Step 1: Write the proportion equation
100,714,712,269.41 : 138,998,490,582.95 = 57,321,548,120.05 : x - Step 2: Convert to fraction form
100,714,712,269.41/138,998,490,582.95 = 57,321,548,120.05/x - Step 3: Cross multiply
100,714,712,269.41x = 138,998,490,582.95 × 57,321,548,120.05 - Step 4: Simplify right side
100,714,712,269.41x = 7,967,608,666,564,886,265,856 - Step 5: Solve for x
x = 7,967,608,666,564,886,265,856/100,714,712,269.41 - Step 6: Final answer
x = 79,110,672,979.45
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1.5x scale
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.