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Finding the Fourth Proportional to 111,209.60, 166,814.40 and 81,685.10

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Solution

The fourth proportional to 111,209.60, 166,814.40 and 81,685.10 is: 122,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,209.60 : 166,814.40 = 81,685.10 : x
  2. Step 2: Convert to fraction form
    111,209.60/166,814.40 = 81,685.10/x
  3. Step 3: Cross multiply
    111,209.60x = 166,814.40 × 81,685.10
  4. Step 4: Simplify right side
    111,209.60x = 13,626,250,945.44
  5. Step 5: Solve for x
    x = 13,626,250,945.44/111,209.60
  6. Step 6: Final answer
    x = 122,527.65

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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.