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Finding the Fourth Proportional to 111,266, 166,288.14 and 81,343.24

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Solution

The fourth proportional to 111,266, 166,288.14 and 81,343.24 is: 121,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,266 : 166,288.14 = 81,343.24 : x
  2. Step 2: Convert to fraction form
    111,266/166,288.14 = 81,343.24/x
  3. Step 3: Cross multiply
    111,266x = 166,288.14 × 81,343.24
  4. Step 4: Simplify right side
    111,266x = 13,526,416,081.17
  5. Step 5: Solve for x
    x = 13,526,416,081.17/111,266
  6. Step 6: Final answer
    x = 121,568.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.