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Finding the Fourth Proportional to 273,735.21, 410,617.40 and 86,761.29

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Solution

The fourth proportional to 273,735.21, 410,617.40 and 86,761.29 is: 130,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,735.21 : 410,617.40 = 86,761.29 : x
  2. Step 2: Convert to fraction form
    273,735.21/410,617.40 = 86,761.29/x
  3. Step 3: Cross multiply
    273,735.21x = 410,617.40 × 86,761.29
  4. Step 4: Simplify right side
    273,735.21x = 35,625,695,320.45
  5. Step 5: Solve for x
    x = 35,625,695,320.45/273,735.21
  6. Step 6: Final answer
    x = 130,146.56

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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.