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Finding the Fourth Proportional to 86,967, 120,014.46 and 47,223

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Solution

The fourth proportional to 86,967, 120,014.46 and 47,223 is: 65,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 120,014.46 = 47,223 : x
  2. Step 2: Convert to fraction form
    86,967/120,014.46 = 47,223/x
  3. Step 3: Cross multiply
    86,967x = 120,014.46 × 47,223
  4. Step 4: Simplify right side
    86,967x = 5,667,442,844.58
  5. Step 5: Solve for x
    x = 5,667,442,844.58/86,967
  6. Step 6: Final answer
    x = 65,167.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.