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Finding the Fourth Proportional to 138,137.78, 207,269.55 and 67,022.03

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Solution

The fourth proportional to 138,137.78, 207,269.55 and 67,022.03 is: 100,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,137.78 : 207,269.55 = 67,022.03 : x
  2. Step 2: Convert to fraction form
    138,137.78/207,269.55 = 67,022.03/x
  3. Step 3: Cross multiply
    138,137.78x = 207,269.55 × 67,022.03
  4. Step 4: Simplify right side
    138,137.78x = 13,891,624,961.84
  5. Step 5: Solve for x
    x = 13,891,624,961.84/138,137.78
  6. Step 6: Final answer
    x = 100,563.55

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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.