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Finding the Fourth Proportional to 79,836.84, 119,757.42 and 19,862.90

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Solution

The fourth proportional to 79,836.84, 119,757.42 and 19,862.90 is: 29,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,836.84 : 119,757.42 = 19,862.90 : x
  2. Step 2: Convert to fraction form
    79,836.84/119,757.42 = 19,862.90/x
  3. Step 3: Cross multiply
    79,836.84x = 119,757.42 × 19,862.90
  4. Step 4: Simplify right side
    79,836.84x = 2,378,729,058.93
  5. Step 5: Solve for x
    x = 2,378,729,058.93/79,836.84
  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.