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Finding the Fourth Proportional to 82,057.46, 123,079.80 and 50,471.71

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Solution

The fourth proportional to 82,057.46, 123,079.80 and 50,471.71 is: 75,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.46 : 123,079.80 = 50,471.71 : x
  2. Step 2: Convert to fraction form
    82,057.46/123,079.80 = 50,471.71/x
  3. Step 3: Cross multiply
    82,057.46x = 123,079.80 × 50,471.71
  4. Step 4: Simplify right side
    82,057.46x = 6,212,047,854.03
  5. Step 5: Solve for x
    x = 6,212,047,854.03/82,057.46
  6. Step 6: Final answer
    x = 75,703.64

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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.