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Finding the Fourth Proportional to 138,138.53, 207,270.68 and 67,022.78

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Solution

The fourth proportional to 138,138.53, 207,270.68 and 67,022.78 is: 100,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,138.53 : 207,270.68 = 67,022.78 : x
  2. Step 2: Convert to fraction form
    138,138.53/207,270.68 = 67,022.78/x
  3. Step 3: Cross multiply
    138,138.53x = 207,270.68 × 67,022.78
  4. Step 4: Simplify right side
    138,138.53x = 13,891,855,814.62
  5. Step 5: Solve for x
    x = 13,891,855,814.62/138,138.53
  6. Step 6: Final answer
    x = 100,564.67

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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.