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Finding the Fourth Proportional to 82,378.50, 123,524.01 and 37,982.40

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Solution

The fourth proportional to 82,378.50, 123,524.01 and 37,982.40 is: 56,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.50 : 123,524.01 = 37,982.40 : x
  2. Step 2: Convert to fraction form
    82,378.50/123,524.01 = 37,982.40/x
  3. Step 3: Cross multiply
    82,378.50x = 123,524.01 × 37,982.40
  4. Step 4: Simplify right side
    82,378.50x = 4,691,738,357.42
  5. Step 5: Solve for x
    x = 4,691,738,357.42/82,378.50
  6. Step 6: Final answer
    x = 56,953.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.