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Finding the Fourth Proportional to 143,834.85, 215,754.11 and 55,093.68

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Solution

The fourth proportional to 143,834.85, 215,754.11 and 55,093.68 is: 82,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,834.85 : 215,754.11 = 55,093.68 : x
  2. Step 2: Convert to fraction form
    143,834.85/215,754.11 = 55,093.68/x
  3. Step 3: Cross multiply
    143,834.85x = 215,754.11 × 55,093.68
  4. Step 4: Simplify right side
    143,834.85x = 11,886,687,895.02
  5. Step 5: Solve for x
    x = 11,886,687,895.02/143,834.85
  6. Step 6: Final answer
    x = 82,641.22

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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.