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Finding the Fourth Proportional to 50,564.88, 69,777 and 28,204.56

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Solution

The fourth proportional to 50,564.88, 69,777 and 28,204.56 is: 38,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.88 : 69,777 = 28,204.56 : x
  2. Step 2: Convert to fraction form
    50,564.88/69,777 = 28,204.56/x
  3. Step 3: Cross multiply
    50,564.88x = 69,777 × 28,204.56
  4. Step 4: Simplify right side
    50,564.88x = 1,968,029,583.12
  5. Step 5: Solve for x
    x = 1,968,029,583.12/50,564.88
  6. Step 6: Final answer
    x = 38,920.88

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1.5x scale

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.