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Finding the Fourth Proportional to 159,638, 239,457.09 and 48,830

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Solution

The fourth proportional to 159,638, 239,457.09 and 48,830 is: 73,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,638 : 239,457.09 = 48,830 : x
  2. Step 2: Convert to fraction form
    159,638/239,457.09 = 48,830/x
  3. Step 3: Cross multiply
    159,638x = 239,457.09 × 48,830
  4. Step 4: Simplify right side
    159,638x = 11,692,689,704.70
  5. Step 5: Solve for x
    x = 11,692,689,704.70/159,638
  6. Step 6: Final answer
    x = 73,245.03

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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.