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Finding the Fourth Proportional to 262,007.56, 393,055.08 and 82,104.94

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Solution

The fourth proportional to 262,007.56, 393,055.08 and 82,104.94 is: 123,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,007.56 : 393,055.08 = 82,104.94 : x
  2. Step 2: Convert to fraction form
    262,007.56/393,055.08 = 82,104.94/x
  3. Step 3: Cross multiply
    262,007.56x = 393,055.08 × 82,104.94
  4. Step 4: Simplify right side
    262,007.56x = 32,271,763,760.10
  5. Step 5: Solve for x
    x = 32,271,763,760.10/262,007.56
  6. Step 6: Final answer
    x = 123,171.12

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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.