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Finding the Fourth Proportional to 128,993.97, 178,003.74 and 71,629.81

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Solution

The fourth proportional to 128,993.97, 178,003.74 and 71,629.81 is: 98,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,993.97 : 178,003.74 = 71,629.81 : x
  2. Step 2: Convert to fraction form
    128,993.97/178,003.74 = 71,629.81/x
  3. Step 3: Cross multiply
    128,993.97x = 178,003.74 × 71,629.81
  4. Step 4: Simplify right side
    128,993.97x = 12,750,373,899.09
  5. Step 5: Solve for x
    x = 12,750,373,899.09/128,993.97
  6. Step 6: Final answer
    x = 98,844.73

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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.