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Finding the Fourth Proportional to 111,286.31, 166,754.36 and 86,047.46

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Solution

The fourth proportional to 111,286.31, 166,754.36 and 86,047.46 is: 128,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,286.31 : 166,754.36 = 86,047.46 : x
  2. Step 2: Convert to fraction form
    111,286.31/166,754.36 = 86,047.46/x
  3. Step 3: Cross multiply
    111,286.31x = 166,754.36 × 86,047.46
  4. Step 4: Simplify right side
    111,286.31x = 14,348,789,753.93
  5. Step 5: Solve for x
    x = 14,348,789,753.93/111,286.31
  6. Step 6: Final answer
    x = 128,935.81

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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.