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Finding the Fourth Proportional to 120,228, 165,922.32 and 67,236

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Solution

The fourth proportional to 120,228, 165,922.32 and 67,236 is: 92,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,228 : 165,922.32 = 67,236 : x
  2. Step 2: Convert to fraction form
    120,228/165,922.32 = 67,236/x
  3. Step 3: Cross multiply
    120,228x = 165,922.32 × 67,236
  4. Step 4: Simplify right side
    120,228x = 11,155,953,107.52
  5. Step 5: Solve for x
    x = 11,155,953,107.52/120,228
  6. Step 6: Final answer
    x = 92,789.97

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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.