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Finding the Fourth Proportional to 273,163.78, 409,806.56 and 83,650.78

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Solution

The fourth proportional to 273,163.78, 409,806.56 and 83,650.78 is: 125,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,163.78 : 409,806.56 = 83,650.78 : x
  2. Step 2: Convert to fraction form
    273,163.78/409,806.56 = 83,650.78/x
  3. Step 3: Cross multiply
    273,163.78x = 409,806.56 × 83,650.78
  4. Step 4: Simplify right side
    273,163.78x = 34,280,638,393.12
  5. Step 5: Solve for x
    x = 34,280,638,393.12/273,163.78
  6. Step 6: Final answer
    x = 125,494.82

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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.