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Finding the Fourth Proportional to 65,105.40, 97,653.96 and 20,763.96

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Solution

The fourth proportional to 65,105.40, 97,653.96 and 20,763.96 is: 31,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.40 : 97,653.96 = 20,763.96 : x
  2. Step 2: Convert to fraction form
    65,105.40/97,653.96 = 20,763.96/x
  3. Step 3: Cross multiply
    65,105.40x = 97,653.96 × 20,763.96
  4. Step 4: Simplify right side
    65,105.40x = 2,027,682,919.28
  5. Step 5: Solve for x
    x = 2,027,682,919.28/65,105.40
  6. Step 6: Final answer
    x = 31,144.62

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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.