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Finding the Fourth Proportional to 55,310.67, 82,966.14 and 20,231.19

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Solution

The fourth proportional to 55,310.67, 82,966.14 and 20,231.19 is: 30,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,310.67 : 82,966.14 = 20,231.19 : x
  2. Step 2: Convert to fraction form
    55,310.67/82,966.14 = 20,231.19/x
  3. Step 3: Cross multiply
    55,310.67x = 82,966.14 × 20,231.19
  4. Step 4: Simplify right side
    55,310.67x = 1,678,503,741.91
  5. Step 5: Solve for x
    x = 1,678,503,741.91/55,310.67
  6. Step 6: Final answer
    x = 30,346.83

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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.