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Finding the Fourth Proportional to 255,634.56, 383,452.79 and 78,140.88

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Solution

The fourth proportional to 255,634.56, 383,452.79 and 78,140.88 is: 117,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,634.56 : 383,452.79 = 78,140.88 : x
  2. Step 2: Convert to fraction form
    255,634.56/383,452.79 = 78,140.88/x
  3. Step 3: Cross multiply
    255,634.56x = 383,452.79 × 78,140.88
  4. Step 4: Simplify right side
    255,634.56x = 29,963,338,058.35
  5. Step 5: Solve for x
    x = 29,963,338,058.35/255,634.56
  6. Step 6: Final answer
    x = 117,211.61

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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.