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Finding the Fourth Proportional to 68,981.64, 103,491.56 and 27,457.80

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Solution

The fourth proportional to 68,981.64, 103,491.56 and 27,457.80 is: 41,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,981.64 : 103,491.56 = 27,457.80 : x
  2. Step 2: Convert to fraction form
    68,981.64/103,491.56 = 27,457.80/x
  3. Step 3: Cross multiply
    68,981.64x = 103,491.56 × 27,457.80
  4. Step 4: Simplify right side
    68,981.64x = 2,841,650,556.17
  5. Step 5: Solve for x
    x = 2,841,650,556.17/68,981.64
  6. Step 6: Final answer
    x = 41,194.30

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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.