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Finding the Fourth Proportional to 178,757.82, 268,136.49 and 45,638.10

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Solution

The fourth proportional to 178,757.82, 268,136.49 and 45,638.10 is: 68,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,757.82 : 268,136.49 = 45,638.10 : x
  2. Step 2: Convert to fraction form
    178,757.82/268,136.49 = 45,638.10/x
  3. Step 3: Cross multiply
    178,757.82x = 268,136.49 × 45,638.10
  4. Step 4: Simplify right side
    178,757.82x = 12,237,240,115.41
  5. Step 5: Solve for x
    x = 12,237,240,115.41/178,757.82
  6. Step 6: Final answer
    x = 68,457.09

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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.