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Finding the Fourth Proportional to 111,640.28, 167,447.20 and 31,685.28

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Solution

The fourth proportional to 111,640.28, 167,447.20 and 31,685.28 is: 47,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,640.28 : 167,447.20 = 31,685.28 : x
  2. Step 2: Convert to fraction form
    111,640.28/167,447.20 = 31,685.28/x
  3. Step 3: Cross multiply
    111,640.28x = 167,447.20 × 31,685.28
  4. Step 4: Simplify right side
    111,640.28x = 5,305,611,417.22
  5. Step 5: Solve for x
    x = 5,305,611,417.22/111,640.28
  6. Step 6: Final answer
    x = 47,524.17

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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.