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Finding the Fourth Proportional to 111,354.30, 166,816.09 and 69,251.22

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Solution

The fourth proportional to 111,354.30, 166,816.09 and 69,251.22 is: 103,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,354.30 : 166,816.09 = 69,251.22 : x
  2. Step 2: Convert to fraction form
    111,354.30/166,816.09 = 69,251.22/x
  3. Step 3: Cross multiply
    111,354.30x = 166,816.09 × 69,251.22
  4. Step 4: Simplify right side
    111,354.30x = 11,552,217,748.13
  5. Step 5: Solve for x
    x = 11,552,217,748.13/111,354.30
  6. Step 6: Final answer
    x = 103,742.90

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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.