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Finding the Fourth Proportional to 65,209.64, 97,821.34 and 20,825.96

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Solution

The fourth proportional to 65,209.64, 97,821.34 and 20,825.96 is: 31,241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.64 : 97,821.34 = 20,825.96 : x
  2. Step 2: Convert to fraction form
    65,209.64/97,821.34 = 20,825.96/x
  3. Step 3: Cross multiply
    65,209.64x = 97,821.34 × 20,825.96
  4. Step 4: Simplify right side
    65,209.64x = 2,037,223,313.99
  5. Step 5: Solve for x
    x = 2,037,223,313.99/65,209.64
  6. Step 6: Final answer
    x = 31,241.14

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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.