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Finding the Fourth Proportional to 98,195.25, 135,509.72 and 55,760.43

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Solution

The fourth proportional to 98,195.25, 135,509.72 and 55,760.43 is: 76,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,195.25 : 135,509.72 = 55,760.43 : x
  2. Step 2: Convert to fraction form
    98,195.25/135,509.72 = 55,760.43/x
  3. Step 3: Cross multiply
    98,195.25x = 135,509.72 × 55,760.43
  4. Step 4: Simplify right side
    98,195.25x = 7,556,079,977.58
  5. Step 5: Solve for x
    x = 7,556,079,977.58/98,195.25
  6. Step 6: Final answer
    x = 76,949.55

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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.