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Finding the Fourth Proportional to 111,988.44, 167,983.02 and 76,821.48

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Solution

The fourth proportional to 111,988.44, 167,983.02 and 76,821.48 is: 115,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,988.44 : 167,983.02 = 76,821.48 : x
  2. Step 2: Convert to fraction form
    111,988.44/167,983.02 = 76,821.48/x
  3. Step 3: Cross multiply
    111,988.44x = 167,983.02 × 76,821.48
  4. Step 4: Simplify right side
    111,988.44x = 12,904,704,211.27
  5. Step 5: Solve for x
    x = 12,904,704,211.27/111,988.44
  6. Step 6: Final answer
    x = 115,232.47

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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.