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Finding the Fourth Proportional to 255,920.08, 383,936.28 and 78,440.44

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Solution

The fourth proportional to 255,920.08, 383,936.28 and 78,440.44 is: 117,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920.08 : 383,936.28 = 78,440.44 : x
  2. Step 2: Convert to fraction form
    255,920.08/383,936.28 = 78,440.44/x
  3. Step 3: Cross multiply
    255,920.08x = 383,936.28 × 78,440.44
  4. Step 4: Simplify right side
    255,920.08x = 30,116,130,735.16
  5. Step 5: Solve for x
    x = 30,116,130,735.16/255,920.08
  6. Step 6: Final answer
    x = 117,677.87

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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.