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Finding the Fourth Proportional to 82,358.77, 123,538.16 and 20,028.73

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Solution

The fourth proportional to 82,358.77, 123,538.16 and 20,028.73 is: 30,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.77 : 123,538.16 = 20,028.73 : x
  2. Step 2: Convert to fraction form
    82,358.77/123,538.16 = 20,028.73/x
  3. Step 3: Cross multiply
    82,358.77x = 123,538.16 × 20,028.73
  4. Step 4: Simplify right side
    82,358.77x = 2,474,312,451.34
  5. Step 5: Solve for x
    x = 2,474,312,451.34/82,358.77
  6. Step 6: Final answer
    x = 30,043.10

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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.