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Finding the Fourth Proportional to 75,638, 113,508.84 and 26,390

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Solution

The fourth proportional to 75,638, 113,508.84 and 26,390 is: 39,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638 : 113,508.84 = 26,390 : x
  2. Step 2: Convert to fraction form
    75,638/113,508.84 = 26,390/x
  3. Step 3: Cross multiply
    75,638x = 113,508.84 × 26,390
  4. Step 4: Simplify right side
    75,638x = 2,995,498,287.60
  5. Step 5: Solve for x
    x = 2,995,498,287.60/75,638
  6. Step 6: Final answer
    x = 39,603.09

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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.