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Finding the Fourth Proportional to 93,450.82, 140,198.58 and 30,271

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Solution

The fourth proportional to 93,450.82, 140,198.58 and 30,271 is: 45,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,450.82 : 140,198.58 = 30,271 : x
  2. Step 2: Convert to fraction form
    93,450.82/140,198.58 = 30,271/x
  3. Step 3: Cross multiply
    93,450.82x = 140,198.58 × 30,271
  4. Step 4: Simplify right side
    93,450.82x = 4,243,951,215.18
  5. Step 5: Solve for x
    x = 4,243,951,215.18/93,450.82
  6. Step 6: Final answer
    x = 45,413.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.