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Finding the Fourth Proportional to 190,602.18, 285,793.86 and 72,198

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Solution

The fourth proportional to 190,602.18, 285,793.86 and 72,198 is: 108,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,602.18 : 285,793.86 = 72,198 : x
  2. Step 2: Convert to fraction form
    190,602.18/285,793.86 = 72,198/x
  3. Step 3: Cross multiply
    190,602.18x = 285,793.86 × 72,198
  4. Step 4: Simplify right side
    190,602.18x = 20,633,745,104.28
  5. Step 5: Solve for x
    x = 20,633,745,104.28/190,602.18
  6. Step 6: Final answer
    x = 108,255.56

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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.