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Finding the Fourth Proportional to 111,296.28, 166,583.16 and 81,707.52

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Solution

The fourth proportional to 111,296.28, 166,583.16 and 81,707.52 is: 122,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,296.28 : 166,583.16 = 81,707.52 : x
  2. Step 2: Convert to fraction form
    111,296.28/166,583.16 = 81,707.52/x
  3. Step 3: Cross multiply
    111,296.28x = 166,583.16 × 81,707.52
  4. Step 4: Simplify right side
    111,296.28x = 13,611,096,877.36
  5. Step 5: Solve for x
    x = 13,611,096,877.36/111,296.28
  6. Step 6: Final answer
    x = 122,296.06

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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.