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Finding the Fourth Proportional to 118,830.86, 178,286 and 38,872.46

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Solution

The fourth proportional to 118,830.86, 178,286 and 38,872.46 is: 58,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,830.86 : 178,286 = 38,872.46 : x
  2. Step 2: Convert to fraction form
    118,830.86/178,286 = 38,872.46/x
  3. Step 3: Cross multiply
    118,830.86x = 178,286 × 38,872.46
  4. Step 4: Simplify right side
    118,830.86x = 6,930,415,403.56
  5. Step 5: Solve for x
    x = 6,930,415,403.56/118,830.86
  6. Step 6: Final answer
    x = 58,321.68

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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.