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Finding the Fourth Proportional to 118,665.66, 178,013.16 and 43,786.20

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Solution

The fourth proportional to 118,665.66, 178,013.16 and 43,786.20 is: 65,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,665.66 : 178,013.16 = 43,786.20 : x
  2. Step 2: Convert to fraction form
    118,665.66/178,013.16 = 43,786.20/x
  3. Step 3: Cross multiply
    118,665.66x = 178,013.16 × 43,786.20
  4. Step 4: Simplify right side
    118,665.66x = 7,794,519,826.39
  5. Step 5: Solve for x
    x = 7,794,519,826.39/118,665.66
  6. Step 6: Final answer
    x = 65,684.71

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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.