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Finding the Fourth Proportional to 65,396.80, 98,025 and 25,899.04

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Solution

The fourth proportional to 65,396.80, 98,025 and 25,899.04 is: 38,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.80 : 98,025 = 25,899.04 : x
  2. Step 2: Convert to fraction form
    65,396.80/98,025 = 25,899.04/x
  3. Step 3: Cross multiply
    65,396.80x = 98,025 × 25,899.04
  4. Step 4: Simplify right side
    65,396.80x = 2,538,753,396
  5. Step 5: Solve for x
    x = 2,538,753,396/65,396.80
  6. Step 6: Final answer
    x = 38,820.76

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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.