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Finding the Fourth Proportional to 111,867.80, 167,412.90 and 102,536.60

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Solution

The fourth proportional to 111,867.80, 167,412.90 and 102,536.60 is: 153,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,867.80 : 167,412.90 = 102,536.60 : x
  2. Step 2: Convert to fraction form
    111,867.80/167,412.90 = 102,536.60/x
  3. Step 3: Cross multiply
    111,867.80x = 167,412.90 × 102,536.60
  4. Step 4: Simplify right side
    111,867.80x = 17,165,949,562.14
  5. Step 5: Solve for x
    x = 17,165,949,562.14/111,867.80
  6. Step 6: Final answer
    x = 153,448.53

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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.