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Finding the Fourth Proportional to 135,846.40, 203,923.20 and 104,819.20

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Solution

The fourth proportional to 135,846.40, 203,923.20 and 104,819.20 is: 157,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,846.40 : 203,923.20 = 104,819.20 : x
  2. Step 2: Convert to fraction form
    135,846.40/203,923.20 = 104,819.20/x
  3. Step 3: Cross multiply
    135,846.40x = 203,923.20 × 104,819.20
  4. Step 4: Simplify right side
    135,846.40x = 21,375,066,685.44
  5. Step 5: Solve for x
    x = 21,375,066,685.44/135,846.40
  6. Step 6: Final answer
    x = 157,347.32

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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.