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Finding the Fourth Proportional to 102,664.40, 154,018.20 and 43,469.60

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Solution

The fourth proportional to 102,664.40, 154,018.20 and 43,469.60 is: 65,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664.40 : 154,018.20 = 43,469.60 : x
  2. Step 2: Convert to fraction form
    102,664.40/154,018.20 = 43,469.60/x
  3. Step 3: Cross multiply
    102,664.40x = 154,018.20 × 43,469.60
  4. Step 4: Simplify right side
    102,664.40x = 6,695,109,546.72
  5. Step 5: Solve for x
    x = 6,695,109,546.72/102,664.40
  6. Step 6: Final answer
    x = 65,213.55

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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.