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Finding the Fourth Proportional to 74,003.72, 102,123.06 and 40,469

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Solution

The fourth proportional to 74,003.72, 102,123.06 and 40,469 is: 55,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,003.72 : 102,123.06 = 40,469 : x
  2. Step 2: Convert to fraction form
    74,003.72/102,123.06 = 40,469/x
  3. Step 3: Cross multiply
    74,003.72x = 102,123.06 × 40,469
  4. Step 4: Simplify right side
    74,003.72x = 4,132,818,115.14
  5. Step 5: Solve for x
    x = 4,132,818,115.14/74,003.72
  6. Step 6: Final answer
    x = 55,846.09

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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.