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Finding the Fourth Proportional to 65,420.68, 98,107.21 and 27,983.49

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Solution

The fourth proportional to 65,420.68, 98,107.21 and 27,983.49 is: 41,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420.68 : 98,107.21 = 27,983.49 : x
  2. Step 2: Convert to fraction form
    65,420.68/98,107.21 = 27,983.49/x
  3. Step 3: Cross multiply
    65,420.68x = 98,107.21 × 27,983.49
  4. Step 4: Simplify right side
    65,420.68x = 2,745,382,129.96
  5. Step 5: Solve for x
    x = 2,745,382,129.96/65,420.68
  6. Step 6: Final answer
    x = 41,965.05

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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.