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Finding the Fourth Proportional to 68,194.34, 102,291.53 and 20,809.68

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Solution

The fourth proportional to 68,194.34, 102,291.53 and 20,809.68 is: 31,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194.34 : 102,291.53 = 20,809.68 : x
  2. Step 2: Convert to fraction form
    68,194.34/102,291.53 = 20,809.68/x
  3. Step 3: Cross multiply
    68,194.34x = 102,291.53 × 20,809.68
  4. Step 4: Simplify right side
    68,194.34x = 2,128,654,381.45
  5. Step 5: Solve for x
    x = 2,128,654,381.45/68,194.34
  6. Step 6: Final answer
    x = 31,214.53

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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.