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Finding the Fourth Proportional to 262,886.57, 394,171.92 and 102,771.81

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Solution

The fourth proportional to 262,886.57, 394,171.92 and 102,771.81 is: 154,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,886.57 : 394,171.92 = 102,771.81 : x
  2. Step 2: Convert to fraction form
    262,886.57/394,171.92 = 102,771.81/x
  3. Step 3: Cross multiply
    262,886.57x = 394,171.92 × 102,771.81
  4. Step 4: Simplify right side
    262,886.57x = 40,509,759,184.86
  5. Step 5: Solve for x
    x = 40,509,759,184.86/262,886.57
  6. Step 6: Final answer
    x = 154,095.96

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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.