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Finding the Fourth Proportional to 100,830.30, 151,245.45 and 41,781.30

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Solution

The fourth proportional to 100,830.30, 151,245.45 and 41,781.30 is: 62,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.30 : 151,245.45 = 41,781.30 : x
  2. Step 2: Convert to fraction form
    100,830.30/151,245.45 = 41,781.30/x
  3. Step 3: Cross multiply
    100,830.30x = 151,245.45 × 41,781.30
  4. Step 4: Simplify right side
    100,830.30x = 6,319,231,520.09
  5. Step 5: Solve for x
    x = 6,319,231,520.09/100,830.30
  6. Step 6: Final answer
    x = 62,671.95

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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.