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Finding the Fourth Proportional to 100,692.90, 138,940.65 and 58,255.38

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Solution

The fourth proportional to 100,692.90, 138,940.65 and 58,255.38 is: 80,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692.90 : 138,940.65 = 58,255.38 : x
  2. Step 2: Convert to fraction form
    100,692.90/138,940.65 = 58,255.38/x
  3. Step 3: Cross multiply
    100,692.90x = 138,940.65 × 58,255.38
  4. Step 4: Simplify right side
    100,692.90x = 8,094,040,363.20
  5. Step 5: Solve for x
    x = 8,094,040,363.20/100,692.90
  6. Step 6: Final answer
    x = 80,383.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.