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Finding the Fourth Proportional to 50,825, 70,138.50 and 28,469

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Solution

The fourth proportional to 50,825, 70,138.50 and 28,469 is: 39,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,825 : 70,138.50 = 28,469 : x
  2. Step 2: Convert to fraction form
    50,825/70,138.50 = 28,469/x
  3. Step 3: Cross multiply
    50,825x = 70,138.50 × 28,469
  4. Step 4: Simplify right side
    50,825x = 1,996,772,956.50
  5. Step 5: Solve for x
    x = 1,996,772,956.50/50,825
  6. Step 6: Final answer
    x = 39,287.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.