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Finding the Fourth Proportional to 65,209.64, 97,777.74 and 20,825.96

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Solution

The fourth proportional to 65,209.64, 97,777.74 and 20,825.96 is: 31,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.64 : 97,777.74 = 20,825.96 : x
  2. Step 2: Convert to fraction form
    65,209.64/97,777.74 = 20,825.96/x
  3. Step 3: Cross multiply
    65,209.64x = 97,777.74 × 20,825.96
  4. Step 4: Simplify right side
    65,209.64x = 2,036,315,302.13
  5. Step 5: Solve for x
    x = 2,036,315,302.13/65,209.64
  6. Step 6: Final answer
    x = 31,227.21

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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.