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Finding the Fourth Proportional to 111,322.20, 166,983.30 and 78,079.80

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Solution

The fourth proportional to 111,322.20, 166,983.30 and 78,079.80 is: 117,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,322.20 : 166,983.30 = 78,079.80 : x
  2. Step 2: Convert to fraction form
    111,322.20/166,983.30 = 78,079.80/x
  3. Step 3: Cross multiply
    111,322.20x = 166,983.30 × 78,079.80
  4. Step 4: Simplify right side
    111,322.20x = 13,038,022,667.34
  5. Step 5: Solve for x
    x = 13,038,022,667.34/111,322.20
  6. Step 6: Final answer
    x = 117,119.70

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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.