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Finding the Fourth Proportional to 103,469.40, 155,204.10 and 71,976.60

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Solution

The fourth proportional to 103,469.40, 155,204.10 and 71,976.60 is: 107,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,469.40 : 155,204.10 = 71,976.60 : x
  2. Step 2: Convert to fraction form
    103,469.40/155,204.10 = 71,976.60/x
  3. Step 3: Cross multiply
    103,469.40x = 155,204.10 × 71,976.60
  4. Step 4: Simplify right side
    103,469.40x = 11,171,063,424.06
  5. Step 5: Solve for x
    x = 11,171,063,424.06/103,469.40
  6. Step 6: Final answer
    x = 107,964.90

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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.