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Finding the Fourth Proportional to 79,638, 119,457 and 24,234

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Solution

The fourth proportional to 79,638, 119,457 and 24,234 is: 36,351

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,638 : 119,457 = 24,234 : x
  2. Step 2: Convert to fraction form
    79,638/119,457 = 24,234/x
  3. Step 3: Cross multiply
    79,638x = 119,457 × 24,234
  4. Step 4: Simplify right side
    79,638x = 2,894,920,938
  5. Step 5: Solve for x
    x = 2,894,920,938/79,638
  6. Step 6: Final answer
    x = 36,351

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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.