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Finding the Fourth Proportional to 82,348.68, 123,523.02 and 20,019

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Solution

The fourth proportional to 82,348.68, 123,523.02 and 20,019 is: 30,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,348.68 : 123,523.02 = 20,019 : x
  2. Step 2: Convert to fraction form
    82,348.68/123,523.02 = 20,019/x
  3. Step 3: Cross multiply
    82,348.68x = 123,523.02 × 20,019
  4. Step 4: Simplify right side
    82,348.68x = 2,472,807,337.38
  5. Step 5: Solve for x
    x = 2,472,807,337.38/82,348.68
  6. Step 6: Final answer
    x = 30,028.50

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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.