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Finding the Fourth Proportional to 74,416.50, 102,694.78 and 40,882.50

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Solution

The fourth proportional to 74,416.50, 102,694.78 and 40,882.50 is: 56,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416.50 : 102,694.78 = 40,882.50 : x
  2. Step 2: Convert to fraction form
    74,416.50/102,694.78 = 40,882.50/x
  3. Step 3: Cross multiply
    74,416.50x = 102,694.78 × 40,882.50
  4. Step 4: Simplify right side
    74,416.50x = 4,198,419,343.35
  5. Step 5: Solve for x
    x = 4,198,419,343.35/74,416.50
  6. Step 6: Final answer
    x = 56,417.86

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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.