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Finding the Fourth Proportional to 270,629.92, 405,983.76 and 83,656

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Solution

The fourth proportional to 270,629.92, 405,983.76 and 83,656 is: 125,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,629.92 : 405,983.76 = 83,656 : x
  2. Step 2: Convert to fraction form
    270,629.92/405,983.76 = 83,656/x
  3. Step 3: Cross multiply
    270,629.92x = 405,983.76 × 83,656
  4. Step 4: Simplify right side
    270,629.92x = 33,962,977,426.56
  5. Step 5: Solve for x
    x = 33,962,977,426.56/270,629.92
  6. Step 6: Final answer
    x = 125,496.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.