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Finding the Fourth Proportional to 118,905.67, 178,358.14 and 30,158.97

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Solution

The fourth proportional to 118,905.67, 178,358.14 and 30,158.97 is: 45,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,905.67 : 178,358.14 = 30,158.97 : x
  2. Step 2: Convert to fraction form
    118,905.67/178,358.14 = 30,158.97/x
  3. Step 3: Cross multiply
    118,905.67x = 178,358.14 × 30,158.97
  4. Step 4: Simplify right side
    118,905.67x = 5,379,097,793.52
  5. Step 5: Solve for x
    x = 5,379,097,793.52/118,905.67
  6. Step 6: Final answer
    x = 45,238.36

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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.