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Finding the Fourth Proportional to 82,716, 123,975.18 and 30,096.84

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Solution

The fourth proportional to 82,716, 123,975.18 and 30,096.84 is: 45,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716 : 123,975.18 = 30,096.84 : x
  2. Step 2: Convert to fraction form
    82,716/123,975.18 = 30,096.84/x
  3. Step 3: Cross multiply
    82,716x = 123,975.18 × 30,096.84
  4. Step 4: Simplify right side
    82,716x = 3,731,261,156.43
  5. Step 5: Solve for x
    x = 3,731,261,156.43/82,716
  6. Step 6: Final answer
    x = 45,109.30

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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.