Finding the Fourth Proportional to 30,281,214.12, 45,421,823.16 and 24,187,414.74
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Solution
The fourth proportional to 30,281,214.12, 45,421,823.16 and 24,187,414.74 is: 36,281,123.69
Step by Step Solution
- Step 1: Write the proportion equation
30,281,214.12 : 45,421,823.16 = 24,187,414.74 : x - Step 2: Convert to fraction form
30,281,214.12/45,421,823.16 = 24,187,414.74/x - Step 3: Cross multiply
30,281,214.12x = 45,421,823.16 × 24,187,414.74 - Step 4: Simplify right side
30,281,214.12x = 1,098,636,475,017,857.25 - Step 5: Solve for x
x = 1,098,636,475,017,857.25/30,281,214.12 - Step 6: Final answer
x = 36,281,123.69
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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.