Finding the Fourth Proportional to 145,011,216.24, 200,092,063.32 and 83,120,166
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Solution
The fourth proportional to 145,011,216.24, 200,092,063.32 and 83,120,166 is: 114,692,407.59
Step by Step Solution
- Step 1: Write the proportion equation
145,011,216.24 : 200,092,063.32 = 83,120,166 : x - Step 2: Convert to fraction form
145,011,216.24/200,092,063.32 = 83,120,166/x - Step 3: Cross multiply
145,011,216.24x = 200,092,063.32 × 83,120,166 - Step 4: Simplify right side
145,011,216.24x = 16,631,685,518,440,910 - Step 5: Solve for x
x = 16,631,685,518,440,910/145,011,216.24 - Step 6: Final answer
x = 114,692,407.59
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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.