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Finding the Fourth Proportional to 65,291.29, 97,939.25 and 20,912.27

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Solution

The fourth proportional to 65,291.29, 97,939.25 and 20,912.27 is: 31,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.29 : 97,939.25 = 20,912.27 : x
  2. Step 2: Convert to fraction form
    65,291.29/97,939.25 = 20,912.27/x
  3. Step 3: Cross multiply
    65,291.29x = 97,939.25 × 20,912.27
  4. Step 4: Simplify right side
    65,291.29x = 2,048,132,039.60
  5. Step 5: Solve for x
    x = 2,048,132,039.60/65,291.29
  6. Step 6: Final answer
    x = 31,369.15

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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.