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Finding the Fourth Proportional to 111,730.65, 167,568.42 and 66,764.85

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Solution

The fourth proportional to 111,730.65, 167,568.42 and 66,764.85 is: 100,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,730.65 : 167,568.42 = 66,764.85 : x
  2. Step 2: Convert to fraction form
    111,730.65/167,568.42 = 66,764.85/x
  3. Step 3: Cross multiply
    111,730.65x = 167,568.42 × 66,764.85
  4. Step 4: Simplify right side
    111,730.65x = 11,187,680,426.04
  5. Step 5: Solve for x
    x = 11,187,680,426.04/111,730.65
  6. Step 6: Final answer
    x = 100,130.81

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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.