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Finding the Fourth Proportional to 98,102.25, 135,429.09 and 65,825.31

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Solution

The fourth proportional to 98,102.25, 135,429.09 and 65,825.31 is: 90,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,102.25 : 135,429.09 = 65,825.31 : x
  2. Step 2: Convert to fraction form
    98,102.25/135,429.09 = 65,825.31/x
  3. Step 3: Cross multiply
    98,102.25x = 135,429.09 × 65,825.31
  4. Step 4: Simplify right side
    98,102.25x = 8,914,661,832.27
  5. Step 5: Solve for x
    x = 8,914,661,832.27/98,102.25
  6. Step 6: Final answer
    x = 90,871.13

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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.