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Finding the Fourth Proportional to 50,575, 69,793.50 and 28,219

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Solution

The fourth proportional to 50,575, 69,793.50 and 28,219 is: 38,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,575 : 69,793.50 = 28,219 : x
  2. Step 2: Convert to fraction form
    50,575/69,793.50 = 28,219/x
  3. Step 3: Cross multiply
    50,575x = 69,793.50 × 28,219
  4. Step 4: Simplify right side
    50,575x = 1,969,502,776.50
  5. Step 5: Solve for x
    x = 1,969,502,776.50/50,575
  6. Step 6: Final answer
    x = 38,942.22

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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.