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Finding the Fourth Proportional to 84,978.72, 127,467 and 38,198.52

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Solution

The fourth proportional to 84,978.72, 127,467 and 38,198.52 is: 57,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,978.72 : 127,467 = 38,198.52 : x
  2. Step 2: Convert to fraction form
    84,978.72/127,467 = 38,198.52/x
  3. Step 3: Cross multiply
    84,978.72x = 127,467 × 38,198.52
  4. Step 4: Simplify right side
    84,978.72x = 4,869,050,748.84
  5. Step 5: Solve for x
    x = 4,869,050,748.84/84,978.72
  6. Step 6: Final answer
    x = 57,297.29

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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.