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Finding the Fourth Proportional to 51,028, 76,542 and 19,863.25

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Solution

The fourth proportional to 51,028, 76,542 and 19,863.25 is: 29,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,028 : 76,542 = 19,863.25 : x
  2. Step 2: Convert to fraction form
    51,028/76,542 = 19,863.25/x
  3. Step 3: Cross multiply
    51,028x = 76,542 × 19,863.25
  4. Step 4: Simplify right side
    51,028x = 1,520,372,881.50
  5. Step 5: Solve for x
    x = 1,520,372,881.50/51,028
  6. Step 6: Final answer
    x = 29,794.88

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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.