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Finding the Fourth Proportional to 255,834.54, 383,752.71 and 78,340.77

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Solution

The fourth proportional to 255,834.54, 383,752.71 and 78,340.77 is: 117,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,834.54 : 383,752.71 = 78,340.77 : x
  2. Step 2: Convert to fraction form
    255,834.54/383,752.71 = 78,340.77/x
  3. Step 3: Cross multiply
    255,834.54x = 383,752.71 × 78,340.77
  4. Step 4: Simplify right side
    255,834.54x = 30,063,482,790.99
  5. Step 5: Solve for x
    x = 30,063,482,790.99/255,834.54
  6. Step 6: Final answer
    x = 117,511.43

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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.