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Finding the Fourth Proportional to 74,015, 102,140.76 and 40,481

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Solution

The fourth proportional to 74,015, 102,140.76 and 40,481 is: 55,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,015 : 102,140.76 = 40,481 : x
  2. Step 2: Convert to fraction form
    74,015/102,140.76 = 40,481/x
  3. Step 3: Cross multiply
    74,015x = 102,140.76 × 40,481
  4. Step 4: Simplify right side
    74,015x = 4,134,760,105.56
  5. Step 5: Solve for x
    x = 4,134,760,105.56/74,015
  6. Step 6: Final answer
    x = 55,863.81

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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.