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Finding the Fourth Proportional to 255,660.83, 383,491.23 and 78,167.82

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Solution

The fourth proportional to 255,660.83, 383,491.23 and 78,167.82 is: 117,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,660.83 : 383,491.23 = 78,167.82 : x
  2. Step 2: Convert to fraction form
    255,660.83/383,491.23 = 78,167.82/x
  3. Step 3: Cross multiply
    255,660.83x = 383,491.23 × 78,167.82
  4. Step 4: Simplify right side
    255,660.83x = 29,976,673,438.22
  5. Step 5: Solve for x
    x = 29,976,673,438.22/255,660.83
  6. Step 6: Final answer
    x = 117,251.73

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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.