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Finding the Fourth Proportional to 55,310.87, 82,966.14 and 13,757.87

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Solution

The fourth proportional to 55,310.87, 82,966.14 and 13,757.87 is: 20,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,310.87 : 82,966.14 = 13,757.87 : x
  2. Step 2: Convert to fraction form
    55,310.87/82,966.14 = 13,757.87/x
  3. Step 3: Cross multiply
    55,310.87x = 82,966.14 × 13,757.87
  4. Step 4: Simplify right side
    55,310.87x = 1,141,436,953.69
  5. Step 5: Solve for x
    x = 1,141,436,953.69/55,310.87
  6. Step 6: Final answer
    x = 20,636.76

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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.