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Finding the Fourth Proportional to 136,629.88, 204,884.62 and 61,747

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Solution

The fourth proportional to 136,629.88, 204,884.62 and 61,747 is: 92,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,629.88 : 204,884.62 = 61,747 : x
  2. Step 2: Convert to fraction form
    136,629.88/204,884.62 = 61,747/x
  3. Step 3: Cross multiply
    136,629.88x = 204,884.62 × 61,747
  4. Step 4: Simplify right side
    136,629.88x = 12,651,010,631.14
  5. Step 5: Solve for x
    x = 12,651,010,631.14/136,629.88
  6. Step 6: Final answer
    x = 92,593.29

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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.