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Finding the Fourth Proportional to 255,723.83, 383,571.87 and 78,230.86

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Solution

The fourth proportional to 255,723.83, 383,571.87 and 78,230.86 is: 117,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,723.83 : 383,571.87 = 78,230.86 : x
  2. Step 2: Convert to fraction form
    255,723.83/383,571.87 = 78,230.86/x
  3. Step 3: Cross multiply
    255,723.83x = 383,571.87 × 78,230.86
  4. Step 4: Simplify right side
    255,723.83x = 30,007,154,952.89
  5. Step 5: Solve for x
    x = 30,007,154,952.89/255,723.83
  6. Step 6: Final answer
    x = 117,342.04

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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.