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Finding the Fourth Proportional to 34,847.54, 52,142.14 and 20,815.20

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Solution

The fourth proportional to 34,847.54, 52,142.14 and 20,815.20 is: 31,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,847.54 : 52,142.14 = 20,815.20 : x
  2. Step 2: Convert to fraction form
    34,847.54/52,142.14 = 20,815.20/x
  3. Step 3: Cross multiply
    34,847.54x = 52,142.14 × 20,815.20
  4. Step 4: Simplify right side
    34,847.54x = 1,085,348,968.45
  5. Step 5: Solve for x
    x = 1,085,348,968.45/34,847.54
  6. Step 6: Final answer
    x = 31,145.64

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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.