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Finding the Fourth Proportional to 80,698.38, 121,067 and 25,294.38

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Solution

The fourth proportional to 80,698.38, 121,067 and 25,294.38 is: 37,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,698.38 : 121,067 = 25,294.38 : x
  2. Step 2: Convert to fraction form
    80,698.38/121,067 = 25,294.38/x
  3. Step 3: Cross multiply
    80,698.38x = 121,067 × 25,294.38
  4. Step 4: Simplify right side
    80,698.38x = 3,062,314,703.46
  5. Step 5: Solve for x
    x = 3,062,314,703.46/80,698.38
  6. Step 6: Final answer
    x = 37,947.66

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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.