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Finding the Fourth Proportional to 55,295.87, 82,943.76 and 13,742.87

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Solution

The fourth proportional to 55,295.87, 82,943.76 and 13,742.87 is: 20,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,295.87 : 82,943.76 = 13,742.87 : x
  2. Step 2: Convert to fraction form
    55,295.87/82,943.76 = 13,742.87/x
  3. Step 3: Cross multiply
    55,295.87x = 82,943.76 × 13,742.87
  4. Step 4: Simplify right side
    55,295.87x = 1,139,885,310.99
  5. Step 5: Solve for x
    x = 1,139,885,310.99/55,295.87
  6. Step 6: Final answer
    x = 20,614.29

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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.