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Finding the Fourth Proportional to 255,920.21, 383,936.47 and 78,440.57

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Solution

The fourth proportional to 255,920.21, 383,936.47 and 78,440.57 is: 117,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920.21 : 383,936.47 = 78,440.57 : x
  2. Step 2: Convert to fraction form
    255,920.21/383,936.47 = 78,440.57/x
  3. Step 3: Cross multiply
    255,920.21x = 383,936.47 × 78,440.57
  4. Step 4: Simplify right side
    255,920.21x = 30,116,193,434.80
  5. Step 5: Solve for x
    x = 30,116,193,434.80/255,920.21
  6. Step 6: Final answer
    x = 117,678.06

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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.