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Finding the Fourth Proportional to 65,676.96, 98,480.20 and 20,689.90

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Solution

The fourth proportional to 65,676.96, 98,480.20 and 20,689.90 is: 31,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.96 : 98,480.20 = 20,689.90 : x
  2. Step 2: Convert to fraction form
    65,676.96/98,480.20 = 20,689.90/x
  3. Step 3: Cross multiply
    65,676.96x = 98,480.20 × 20,689.90
  4. Step 4: Simplify right side
    65,676.96x = 2,037,545,489.98
  5. Step 5: Solve for x
    x = 2,037,545,489.98/65,676.96
  6. Step 6: Final answer
    x = 31,023.75

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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.