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Finding the Fourth Proportional to 138,578.60, 207,819.30 and 71,996.60

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Solution

The fourth proportional to 138,578.60, 207,819.30 and 71,996.60 is: 107,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,578.60 : 207,819.30 = 71,996.60 : x
  2. Step 2: Convert to fraction form
    138,578.60/207,819.30 = 71,996.60/x
  3. Step 3: Cross multiply
    138,578.60x = 207,819.30 × 71,996.60
  4. Step 4: Simplify right side
    138,578.60x = 14,962,283,014.38
  5. Step 5: Solve for x
    x = 14,962,283,014.38/138,578.60
  6. Step 6: Final answer
    x = 107,969.65

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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.