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Finding the Fourth Proportional to 111,705, 167,640.54 and 45,145.74

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Solution

The fourth proportional to 111,705, 167,640.54 and 45,145.74 is: 67,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,705 : 167,640.54 = 45,145.74 : x
  2. Step 2: Convert to fraction form
    111,705/167,640.54 = 45,145.74/x
  3. Step 3: Cross multiply
    111,705x = 167,640.54 × 45,145.74
  4. Step 4: Simplify right side
    111,705x = 7,568,256,232.30
  5. Step 5: Solve for x
    x = 7,568,256,232.30/111,705
  6. Step 6: Final answer
    x = 67,752.17

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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.