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Finding the Fourth Proportional to 82,217.64, 123,288 and 29,620.20

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Solution

The fourth proportional to 82,217.64, 123,288 and 29,620.20 is: 44,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.64 : 123,288 = 29,620.20 : x
  2. Step 2: Convert to fraction form
    82,217.64/123,288 = 29,620.20/x
  3. Step 3: Cross multiply
    82,217.64x = 123,288 × 29,620.20
  4. Step 4: Simplify right side
    82,217.64x = 3,651,815,217.60
  5. Step 5: Solve for x
    x = 3,651,815,217.60/82,217.64
  6. Step 6: Final answer
    x = 44,416.44

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1.5x scale

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.