Finding the Fourth Proportional to 205,014,822.42, 282,920,272.11 and 115,725,560.88
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Solution
The fourth proportional to 205,014,822.42, 282,920,272.11 and 115,725,560.88 is: 159,701,170.81
Step by Step Solution
- Step 1: Write the proportion equation
205,014,822.42 : 282,920,272.11 = 115,725,560.88 : x - Step 2: Convert to fraction form
205,014,822.42/282,920,272.11 = 115,725,560.88/x - Step 3: Cross multiply
205,014,822.42x = 282,920,272.11 × 115,725,560.88 - Step 4: Simplify right side
205,014,822.42x = 32,741,107,174,251,972 - Step 5: Solve for x
x = 32,741,107,174,251,972/205,014,822.42 - Step 6: Final answer
x = 159,701,170.81
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.