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Finding the Fourth Proportional to 171,869, 257,793.14 and 102,191.72

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Solution

The fourth proportional to 171,869, 257,793.14 and 102,191.72 is: 153,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,869 : 257,793.14 = 102,191.72 : x
  2. Step 2: Convert to fraction form
    171,869/257,793.14 = 102,191.72/x
  3. Step 3: Cross multiply
    171,869x = 257,793.14 × 102,191.72
  4. Step 4: Simplify right side
    171,869x = 26,344,324,380.80
  5. Step 5: Solve for x
    x = 26,344,324,380.80/171,869
  6. Step 6: Final answer
    x = 153,281.42

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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.