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Finding the Fourth Proportional to 255,421.86, 383,131.72 and 77,928.28

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Solution

The fourth proportional to 255,421.86, 383,131.72 and 77,928.28 is: 116,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,421.86 : 383,131.72 = 77,928.28 : x
  2. Step 2: Convert to fraction form
    255,421.86/383,131.72 = 77,928.28/x
  3. Step 3: Cross multiply
    255,421.86x = 383,131.72 × 77,928.28
  4. Step 4: Simplify right side
    255,421.86x = 29,856,795,953.04
  5. Step 5: Solve for x
    x = 29,856,795,953.04/255,421.86
  6. Step 6: Final answer
    x = 116,892.09

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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.