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Finding the Fourth Proportional to 109,500, 151,110 and 59,199

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Solution

The fourth proportional to 109,500, 151,110 and 59,199 is: 81,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,500 : 151,110 = 59,199 : x
  2. Step 2: Convert to fraction form
    109,500/151,110 = 59,199/x
  3. Step 3: Cross multiply
    109,500x = 151,110 × 59,199
  4. Step 4: Simplify right side
    109,500x = 8,945,560,890
  5. Step 5: Solve for x
    x = 8,945,560,890/109,500
  6. Step 6: Final answer
    x = 81,694.62

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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.