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Finding the Fourth Proportional to 135,120.16, 186,440.16 and 84,796.48

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Solution

The fourth proportional to 135,120.16, 186,440.16 and 84,796.48 is: 117,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,120.16 : 186,440.16 = 84,796.48 : x
  2. Step 2: Convert to fraction form
    135,120.16/186,440.16 = 84,796.48/x
  3. Step 3: Cross multiply
    135,120.16x = 186,440.16 × 84,796.48
  4. Step 4: Simplify right side
    135,120.16x = 15,809,469,298.64
  5. Step 5: Solve for x
    x = 15,809,469,298.64/135,120.16
  6. Step 6: Final answer
    x = 117,003.04

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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.