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Finding the Fourth Proportional to 136,629.60, 204,723.60 and 77,288.80

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Solution

The fourth proportional to 136,629.60, 204,723.60 and 77,288.80 is: 115,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,629.60 : 204,723.60 = 77,288.80 : x
  2. Step 2: Convert to fraction form
    136,629.60/204,723.60 = 77,288.80/x
  3. Step 3: Cross multiply
    136,629.60x = 204,723.60 × 77,288.80
  4. Step 4: Simplify right side
    136,629.60x = 15,822,841,375.68
  5. Step 5: Solve for x
    x = 15,822,841,375.68/136,629.60
  6. Step 6: Final answer
    x = 115,808.30

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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.