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Finding the Fourth Proportional to 75,380.50, 113,078.49 and 19,976.50

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Solution

The fourth proportional to 75,380.50, 113,078.49 and 19,976.50 is: 29,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,380.50 : 113,078.49 = 19,976.50 : x
  2. Step 2: Convert to fraction form
    75,380.50/113,078.49 = 19,976.50/x
  3. Step 3: Cross multiply
    75,380.50x = 113,078.49 × 19,976.50
  4. Step 4: Simplify right side
    75,380.50x = 2,258,912,455.49
  5. Step 5: Solve for x
    x = 2,258,912,455.49/75,380.50
  6. Step 6: Final answer
    x = 29,966.80

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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.