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Finding the Fourth Proportional to 76,238.44, 114,357.67 and 20,834.44

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Solution

The fourth proportional to 76,238.44, 114,357.67 and 20,834.44 is: 31,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.44 : 114,357.67 = 20,834.44 : x
  2. Step 2: Convert to fraction form
    76,238.44/114,357.67 = 20,834.44/x
  3. Step 3: Cross multiply
    76,238.44x = 114,357.67 × 20,834.44
  4. Step 4: Simplify right side
    76,238.44x = 2,382,577,676.17
  5. Step 5: Solve for x
    x = 2,382,577,676.17/76,238.44
  6. Step 6: Final answer
    x = 31,251.66

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1.5x scale

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.