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Finding the Fourth Proportional to 255,991.49, 383,992.77 and 78,494.57

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Solution

The fourth proportional to 255,991.49, 383,992.77 and 78,494.57 is: 117,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,991.49 : 383,992.77 = 78,494.57 : x
  2. Step 2: Convert to fraction form
    255,991.49/383,992.77 = 78,494.57/x
  3. Step 3: Cross multiply
    255,991.49x = 383,992.77 × 78,494.57
  4. Step 4: Simplify right side
    255,991.49x = 30,141,345,444.30
  5. Step 5: Solve for x
    x = 30,141,345,444.30/255,991.49
  6. Step 6: Final answer
    x = 117,743.55

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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.