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Finding the Fourth Proportional to 74,414.92, 102,694.46 and 40,423.40

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Solution

The fourth proportional to 74,414.92, 102,694.46 and 40,423.40 is: 55,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.92 : 102,694.46 = 40,423.40 : x
  2. Step 2: Convert to fraction form
    74,414.92/102,694.46 = 40,423.40/x
  3. Step 3: Cross multiply
    74,414.92x = 102,694.46 × 40,423.40
  4. Step 4: Simplify right side
    74,414.92x = 4,151,259,234.36
  5. Step 5: Solve for x
    x = 4,151,259,234.36/74,414.92
  6. Step 6: Final answer
    x = 55,785.31

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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.