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Finding the Fourth Proportional to 255,991.86, 383,993.33 and 78,494.94

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Solution

The fourth proportional to 255,991.86, 383,993.33 and 78,494.94 is: 117,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,991.86 : 383,993.33 = 78,494.94 : x
  2. Step 2: Convert to fraction form
    255,991.86/383,993.33 = 78,494.94/x
  3. Step 3: Cross multiply
    255,991.86x = 383,993.33 × 78,494.94
  4. Step 4: Simplify right side
    255,991.86x = 30,141,533,006.28
  5. Step 5: Solve for x
    x = 30,141,533,006.28/255,991.86
  6. Step 6: Final answer
    x = 117,744.11

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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.