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Finding the Fourth Proportional to 65,247.80, 97,861.97 and 20,869.92

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Solution

The fourth proportional to 65,247.80, 97,861.97 and 20,869.92 is: 31,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,247.80 : 97,861.97 = 20,869.92 : x
  2. Step 2: Convert to fraction form
    65,247.80/97,861.97 = 20,869.92/x
  3. Step 3: Cross multiply
    65,247.80x = 97,861.97 × 20,869.92
  4. Step 4: Simplify right side
    65,247.80x = 2,042,371,537.12
  5. Step 5: Solve for x
    x = 2,042,371,537.12/65,247.80
  6. Step 6: Final answer
    x = 31,301.77

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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.