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Finding the Fourth Proportional to 111,170, 166,772.28 and 37,315.28

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Solution

The fourth proportional to 111,170, 166,772.28 and 37,315.28 is: 55,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,170 : 166,772.28 = 37,315.28 : x
  2. Step 2: Convert to fraction form
    111,170/166,772.28 = 37,315.28/x
  3. Step 3: Cross multiply
    111,170x = 166,772.28 × 37,315.28
  4. Step 4: Simplify right side
    111,170x = 6,223,154,324.44
  5. Step 5: Solve for x
    x = 6,223,154,324.44/111,170
  6. Step 6: Final answer
    x = 55,978.72

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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.