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Finding the Fourth Proportional to 65,676.96, 98,503.92 and 21,297.24

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Solution

The fourth proportional to 65,676.96, 98,503.92 and 21,297.24 is: 31,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.96 : 98,503.92 = 21,297.24 : x
  2. Step 2: Convert to fraction form
    65,676.96/98,503.92 = 21,297.24/x
  3. Step 3: Cross multiply
    65,676.96x = 98,503.92 × 21,297.24
  4. Step 4: Simplify right side
    65,676.96x = 2,097,861,625.18
  5. Step 5: Solve for x
    x = 2,097,861,625.18/65,676.96
  6. Step 6: Final answer
    x = 31,942.12

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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.