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Finding the Fourth Proportional to 111,212.32, 166,673.84 and 84,820

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Solution

The fourth proportional to 111,212.32, 166,673.84 and 84,820 is: 127,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,212.32 : 166,673.84 = 84,820 : x
  2. Step 2: Convert to fraction form
    111,212.32/166,673.84 = 84,820/x
  3. Step 3: Cross multiply
    111,212.32x = 166,673.84 × 84,820
  4. Step 4: Simplify right side
    111,212.32x = 14,137,275,108.80
  5. Step 5: Solve for x
    x = 14,137,275,108.80/111,212.32
  6. Step 6: Final answer
    x = 127,119.69

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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.