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Finding the Fourth Proportional to 74,115.54, 102,278.43 and 40,581.54

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Solution

The fourth proportional to 74,115.54, 102,278.43 and 40,581.54 is: 56,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,115.54 : 102,278.43 = 40,581.54 : x
  2. Step 2: Convert to fraction form
    74,115.54/102,278.43 = 40,581.54/x
  3. Step 3: Cross multiply
    74,115.54x = 102,278.43 × 40,581.54
  4. Step 4: Simplify right side
    74,115.54x = 4,150,616,198.18
  5. Step 5: Solve for x
    x = 4,150,616,198.18/74,115.54
  6. Step 6: Final answer
    x = 56,001.97

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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.