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Finding the Fourth Proportional to 73,676.63, 101,673.75 and 40,142.63

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Solution

The fourth proportional to 73,676.63, 101,673.75 and 40,142.63 is: 55,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,676.63 : 101,673.75 = 40,142.63 : x
  2. Step 2: Convert to fraction form
    73,676.63/101,673.75 = 40,142.63/x
  3. Step 3: Cross multiply
    73,676.63x = 101,673.75 × 40,142.63
  4. Step 4: Simplify right side
    73,676.63x = 4,081,451,218.59
  5. Step 5: Solve for x
    x = 4,081,451,218.59/73,676.63
  6. Step 6: Final answer
    x = 55,396.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.