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Finding the Fourth Proportional to 50,133.78, 75,200.77 and 20,546.30

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Solution

The fourth proportional to 50,133.78, 75,200.77 and 20,546.30 is: 30,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133.78 : 75,200.77 = 20,546.30 : x
  2. Step 2: Convert to fraction form
    50,133.78/75,200.77 = 20,546.30/x
  3. Step 3: Cross multiply
    50,133.78x = 75,200.77 × 20,546.30
  4. Step 4: Simplify right side
    50,133.78x = 1,545,097,794.34
  5. Step 5: Solve for x
    x = 1,545,097,794.34/50,133.78
  6. Step 6: Final answer
    x = 30,819.50

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1.5x scale

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.