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Finding the Fourth Proportional to 67,874.88, 101,826.94 and 20,486

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Solution

The fourth proportional to 67,874.88, 101,826.94 and 20,486 is: 30,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,874.88 : 101,826.94 = 20,486 : x
  2. Step 2: Convert to fraction form
    67,874.88/101,826.94 = 20,486/x
  3. Step 3: Cross multiply
    67,874.88x = 101,826.94 × 20,486
  4. Step 4: Simplify right side
    67,874.88x = 2,086,026,590.41
  5. Step 5: Solve for x
    x = 2,086,026,590.41/67,874.88
  6. Step 6: Final answer
    x = 30,733.41

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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.