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Finding the Fourth Proportional to 255,722.39, 383,569.66 and 78,229.39

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Solution

The fourth proportional to 255,722.39, 383,569.66 and 78,229.39 is: 117,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,722.39 : 383,569.66 = 78,229.39 : x
  2. Step 2: Convert to fraction form
    255,722.39/383,569.66 = 78,229.39/x
  3. Step 3: Cross multiply
    255,722.39x = 383,569.66 × 78,229.39
  4. Step 4: Simplify right side
    255,722.39x = 30,006,420,524.31
  5. Step 5: Solve for x
    x = 30,006,420,524.31/255,722.39
  6. Step 6: Final answer
    x = 117,339.83

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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.