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Finding the Fourth Proportional to 74,076.34, 102,227.79 and 40,542.34

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Solution

The fourth proportional to 74,076.34, 102,227.79 and 40,542.34 is: 55,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076.34 : 102,227.79 = 40,542.34 : x
  2. Step 2: Convert to fraction form
    74,076.34/102,227.79 = 40,542.34/x
  3. Step 3: Cross multiply
    74,076.34x = 102,227.79 × 40,542.34
  4. Step 4: Simplify right side
    74,076.34x = 4,144,553,819.63
  5. Step 5: Solve for x
    x = 4,144,553,819.63/74,076.34
  6. Step 6: Final answer
    x = 55,949.77

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