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Finding the Fourth Proportional to 195,015, 269,120.70 and 105,591

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Solution

The fourth proportional to 195,015, 269,120.70 and 105,591 is: 145,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,015 : 269,120.70 = 105,591 : x
  2. Step 2: Convert to fraction form
    195,015/269,120.70 = 105,591/x
  3. Step 3: Cross multiply
    195,015x = 269,120.70 × 105,591
  4. Step 4: Simplify right side
    195,015x = 28,416,723,833.70
  5. Step 5: Solve for x
    x = 28,416,723,833.70/195,015
  6. Step 6: Final answer
    x = 145,715.58

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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.