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Finding the Fourth Proportional to 52,507.67, 78,729.84 and 20,922.60

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Solution

The fourth proportional to 52,507.67, 78,729.84 and 20,922.60 is: 31,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,507.67 : 78,729.84 = 20,922.60 : x
  2. Step 2: Convert to fraction form
    52,507.67/78,729.84 = 20,922.60/x
  3. Step 3: Cross multiply
    52,507.67x = 78,729.84 × 20,922.60
  4. Step 4: Simplify right side
    52,507.67x = 1,647,233,157.35
  5. Step 5: Solve for x
    x = 1,647,233,157.35/52,507.67
  6. Step 6: Final answer
    x = 31,371.29

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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.