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Finding the Fourth Proportional to 136,638.75, 204,964.25 and 41,862

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Solution

The fourth proportional to 136,638.75, 204,964.25 and 41,862 is: 62,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638.75 : 204,964.25 = 41,862 : x
  2. Step 2: Convert to fraction form
    136,638.75/204,964.25 = 41,862/x
  3. Step 3: Cross multiply
    136,638.75x = 204,964.25 × 41,862
  4. Step 4: Simplify right side
    136,638.75x = 8,580,213,433.50
  5. Step 5: Solve for x
    x = 8,580,213,433.50/136,638.75
  6. Step 6: Final answer
    x = 62,794.88

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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.