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Finding the Fourth Proportional to 136,589.45, 204,834.96 and 57,709.82

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Solution

The fourth proportional to 136,589.45, 204,834.96 and 57,709.82 is: 86,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,589.45 : 204,834.96 = 57,709.82 : x
  2. Step 2: Convert to fraction form
    136,589.45/204,834.96 = 57,709.82/x
  3. Step 3: Cross multiply
    136,589.45x = 204,834.96 × 57,709.82
  4. Step 4: Simplify right side
    136,589.45x = 11,820,989,183.39
  5. Step 5: Solve for x
    x = 11,820,989,183.39/136,589.45
  6. Step 6: Final answer
    x = 86,543.94

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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.