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Finding the Fourth Proportional to 111,950.33, 167,947.64 and 31,989.02

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Solution

The fourth proportional to 111,950.33, 167,947.64 and 31,989.02 is: 47,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,950.33 : 167,947.64 = 31,989.02 : x
  2. Step 2: Convert to fraction form
    111,950.33/167,947.64 = 31,989.02/x
  3. Step 3: Cross multiply
    111,950.33x = 167,947.64 × 31,989.02
  4. Step 4: Simplify right side
    111,950.33x = 5,372,479,415.23
  5. Step 5: Solve for x
    x = 5,372,479,415.23/111,950.33
  6. Step 6: Final answer
    x = 47,989.85

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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.