Finding the Fourth Proportional to 30,683,899.36, 42,344,678.84 and 16,746,148.41
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Solution
The fourth proportional to 30,683,899.36, 42,344,678.84 and 16,746,148.41 is: 23,110,174.75
Step by Step Solution
- Step 1: Write the proportion equation
30,683,899.36 : 42,344,678.84 = 16,746,148.41 : x - Step 2: Convert to fraction form
30,683,899.36/42,344,678.84 = 16,746,148.41/x - Step 3: Cross multiply
30,683,899.36x = 42,344,678.84 × 16,746,148.41 - Step 4: Simplify right side
30,683,899.36x = 709,110,276,303,488.50 - Step 5: Solve for x
x = 709,110,276,303,488.50/30,683,899.36 - Step 6: Final answer
x = 23,110,174.75
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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.