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Finding the Fourth Proportional to 98,144.82, 147,217.31 and 31,584.95

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Solution

The fourth proportional to 98,144.82, 147,217.31 and 31,584.95 is: 47,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,144.82 : 147,217.31 = 31,584.95 : x
  2. Step 2: Convert to fraction form
    98,144.82/147,217.31 = 31,584.95/x
  3. Step 3: Cross multiply
    98,144.82x = 147,217.31 × 31,584.95
  4. Step 4: Simplify right side
    98,144.82x = 4,649,850,481.47
  5. Step 5: Solve for x
    x = 4,649,850,481.47/98,144.82
  6. Step 6: Final answer
    x = 47,377.44

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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.