Finding the Fourth Proportional to 97,014,503.20, 145,541,972.40 and 32,338,400.80
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Solution
The fourth proportional to 97,014,503.20, 145,541,972.40 and 32,338,400.80 is: 48,514,340.45
Step by Step Solution
- Step 1: Write the proportion equation
97,014,503.20 : 145,541,972.40 = 32,338,400.80 : x - Step 2: Convert to fraction form
97,014,503.20/145,541,972.40 = 32,338,400.80/x - Step 3: Cross multiply
97,014,503.20x = 145,541,972.40 × 32,338,400.80 - Step 4: Simplify right side
97,014,503.20x = 4,706,594,636,693,738 - Step 5: Solve for x
x = 4,706,594,636,693,738/97,014,503.20 - Step 6: Final answer
x = 48,514,340.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.