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Finding the Fourth Proportional to 123,805.36, 170,992.08 and 83,449.48

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Solution

The fourth proportional to 123,805.36, 170,992.08 and 83,449.48 is: 115,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,805.36 : 170,992.08 = 83,449.48 : x
  2. Step 2: Convert to fraction form
    123,805.36/170,992.08 = 83,449.48/x
  3. Step 3: Cross multiply
    123,805.36x = 170,992.08 × 83,449.48
  4. Step 4: Simplify right side
    123,805.36x = 14,269,200,160.12
  5. Step 5: Solve for x
    x = 14,269,200,160.12/123,805.36
  6. Step 6: Final answer
    x = 115,255.11

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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.