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Finding the Fourth Proportional to 65,249.59, 97,880.87 and 20,865.19

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Solution

The fourth proportional to 65,249.59, 97,880.87 and 20,865.19 is: 31,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.59 : 97,880.87 = 20,865.19 : x
  2. Step 2: Convert to fraction form
    65,249.59/97,880.87 = 20,865.19/x
  3. Step 3: Cross multiply
    65,249.59x = 97,880.87 × 20,865.19
  4. Step 4: Simplify right side
    65,249.59x = 2,042,302,949.92
  5. Step 5: Solve for x
    x = 2,042,302,949.92/65,249.59
  6. Step 6: Final answer
    x = 31,299.86

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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.