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Finding the Fourth Proportional to 73,678.36, 101,676.90 and 40,144.36

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Solution

The fourth proportional to 73,678.36, 101,676.90 and 40,144.36 is: 55,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,678.36 : 101,676.90 = 40,144.36 : x
  2. Step 2: Convert to fraction form
    73,678.36/101,676.90 = 40,144.36/x
  3. Step 3: Cross multiply
    73,678.36x = 101,676.90 × 40,144.36
  4. Step 4: Simplify right side
    73,678.36x = 4,081,754,077.28
  5. Step 5: Solve for x
    x = 4,081,754,077.28/73,678.36
  6. Step 6: Final answer
    x = 55,399.63

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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.