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Finding the Fourth Proportional to 111,236.65, 166,780.85 and 57,797.30

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Solution

The fourth proportional to 111,236.65, 166,780.85 and 57,797.30 is: 86,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,236.65 : 166,780.85 = 57,797.30 : x
  2. Step 2: Convert to fraction form
    111,236.65/166,780.85 = 57,797.30/x
  3. Step 3: Cross multiply
    111,236.65x = 166,780.85 × 57,797.30
  4. Step 4: Simplify right side
    111,236.65x = 9,639,482,949.67
  5. Step 5: Solve for x
    x = 9,639,482,949.67/111,236.65
  6. Step 6: Final answer
    x = 86,657.44

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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.