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Finding the Fourth Proportional to 111,784.38, 167,676.39 and 28,678.38

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Solution

The fourth proportional to 111,784.38, 167,676.39 and 28,678.38 is: 43,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,784.38 : 167,676.39 = 28,678.38 : x
  2. Step 2: Convert to fraction form
    111,784.38/167,676.39 = 28,678.38/x
  3. Step 3: Cross multiply
    111,784.38x = 167,676.39 × 28,678.38
  4. Step 4: Simplify right side
    111,784.38x = 4,808,687,229.45
  5. Step 5: Solve for x
    x = 4,808,687,229.45/111,784.38
  6. Step 6: Final answer
    x = 43,017.52

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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.