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Finding the Fourth Proportional to 110,722.40, 166,083.60 and 103,286.60

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Solution

The fourth proportional to 110,722.40, 166,083.60 and 103,286.60 is: 154,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,722.40 : 166,083.60 = 103,286.60 : x
  2. Step 2: Convert to fraction form
    110,722.40/166,083.60 = 103,286.60/x
  3. Step 3: Cross multiply
    110,722.40x = 166,083.60 × 103,286.60
  4. Step 4: Simplify right side
    110,722.40x = 17,154,210,359.76
  5. Step 5: Solve for x
    x = 17,154,210,359.76/110,722.40
  6. Step 6: Final answer
    x = 154,929.90

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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.