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Finding the Fourth Proportional to 111,524.15, 167,286.47 and 78,392.48

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Solution

The fourth proportional to 111,524.15, 167,286.47 and 78,392.48 is: 117,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,524.15 : 167,286.47 = 78,392.48 : x
  2. Step 2: Convert to fraction form
    111,524.15/167,286.47 = 78,392.48/x
  3. Step 3: Cross multiply
    111,524.15x = 167,286.47 × 78,392.48
  4. Step 4: Simplify right side
    111,524.15x = 13,114,000,025.35
  5. Step 5: Solve for x
    x = 13,114,000,025.35/111,524.15
  6. Step 6: Final answer
    x = 117,588.88

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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.