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Finding the Fourth Proportional to 73,984, 102,097.92 and 40,450

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Solution

The fourth proportional to 73,984, 102,097.92 and 40,450 is: 55,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,984 : 102,097.92 = 40,450 : x
  2. Step 2: Convert to fraction form
    73,984/102,097.92 = 40,450/x
  3. Step 3: Cross multiply
    73,984x = 102,097.92 × 40,450
  4. Step 4: Simplify right side
    73,984x = 4,129,860,864
  5. Step 5: Solve for x
    x = 4,129,860,864/73,984
  6. Step 6: Final answer
    x = 55,821

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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.