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Finding the Fourth Proportional to 65,205.64, 97,771.74 and 20,821.96

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Solution

The fourth proportional to 65,205.64, 97,771.74 and 20,821.96 is: 31,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.64 : 97,771.74 = 20,821.96 : x
  2. Step 2: Convert to fraction form
    65,205.64/97,771.74 = 20,821.96/x
  3. Step 3: Cross multiply
    65,205.64x = 97,771.74 × 20,821.96
  4. Step 4: Simplify right side
    65,205.64x = 2,035,799,259.41
  5. Step 5: Solve for x
    x = 2,035,799,259.41/65,205.64
  6. Step 6: Final answer
    x = 31,221.21

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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.