Finding the Fourth Proportional to 73,107,235,117.67, 100,872,876,788.79 and 42,206,984,484.35
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Solution
The fourth proportional to 73,107,235,117.67, 100,872,876,788.79 and 42,206,984,484.35 is: 58,236,916,478.42
Step by Step Solution
- Step 1: Write the proportion equation
73,107,235,117.67 : 100,872,876,788.79 = 42,206,984,484.35 : x - Step 2: Convert to fraction form
73,107,235,117.67/100,872,876,788.79 = 42,206,984,484.35/x - Step 3: Cross multiply
73,107,235,117.67x = 100,872,876,788.79 × 42,206,984,484.35 - Step 4: Simplify right side
73,107,235,117.67x = 4,257,539,945,516,208,488,448 - Step 5: Solve for x
x = 4,257,539,945,516,208,488,448/73,107,235,117.67 - Step 6: Final answer
x = 58,236,916,478.42
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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.