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Finding the Fourth Proportional to 20,141.60, 30,190.80 and 7,656.80

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Solution

The fourth proportional to 20,141.60, 30,190.80 and 7,656.80 is: 11,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.60 : 30,190.80 = 7,656.80 : x
  2. Step 2: Convert to fraction form
    20,141.60/30,190.80 = 7,656.80/x
  3. Step 3: Cross multiply
    20,141.60x = 30,190.80 × 7,656.80
  4. Step 4: Simplify right side
    20,141.60x = 231,164,917.44
  5. Step 5: Solve for x
    x = 231,164,917.44/20,141.60
  6. Step 6: Final answer
    x = 11,476.99

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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.