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Finding the Fourth Proportional to 72,764.33, 109,164.66 and 25,380.11

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Solution

The fourth proportional to 72,764.33, 109,164.66 and 25,380.11 is: 38,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764.33 : 109,164.66 = 25,380.11 : x
  2. Step 2: Convert to fraction form
    72,764.33/109,164.66 = 25,380.11/x
  3. Step 3: Cross multiply
    72,764.33x = 109,164.66 × 25,380.11
  4. Step 4: Simplify right side
    72,764.33x = 2,770,611,078.91
  5. Step 5: Solve for x
    x = 2,770,611,078.91/72,764.33
  6. Step 6: Final answer
    x = 38,076.50

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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.