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Finding the Fourth Proportional to 75,855.78, 113,698.89 and 28,425.24

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Solution

The fourth proportional to 75,855.78, 113,698.89 and 28,425.24 is: 42,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.78 : 113,698.89 = 28,425.24 : x
  2. Step 2: Convert to fraction form
    75,855.78/113,698.89 = 28,425.24/x
  3. Step 3: Cross multiply
    75,855.78x = 113,698.89 × 28,425.24
  4. Step 4: Simplify right side
    75,855.78x = 3,231,918,235.98
  5. Step 5: Solve for x
    x = 3,231,918,235.98/75,855.78
  6. Step 6: Final answer
    x = 42,606.09

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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.