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Finding the Fourth Proportional to 165,190.40, 227,982.40 and 98,122.56

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Solution

The fourth proportional to 165,190.40, 227,982.40 and 98,122.56 is: 135,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190.40 : 227,982.40 = 98,122.56 : x
  2. Step 2: Convert to fraction form
    165,190.40/227,982.40 = 98,122.56/x
  3. Step 3: Cross multiply
    165,190.40x = 227,982.40 × 98,122.56
  4. Step 4: Simplify right side
    165,190.40x = 22,370,216,722.94
  5. Step 5: Solve for x
    x = 22,370,216,722.94/165,190.40
  6. Step 6: Final answer
    x = 135,420.80

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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.